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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Landi, \textit{An introduction to noncommutative spaces and their geometry}, Springer, Berlin Germany (1997). Noncommutative differential geometry, Research exposition (monographs, survey articles) pertaining to functional analysis, Noncommutative algebraic geometry, \(K\)-theory and operator algebras (including cyclic theory), Quantization in field theory; cohomological methods, Applications of selfadjoint operator algebras to physics, Noncommutative topology
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Bergh, P. A.; Erdmann, K., The Avrunin-Scott theorem for quantum complete intersections, J. Algebra, 322, 2, 479-488, (2009) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Complete intersections, Rings arising from noncommutative algebraic geometry, Group rings
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Chan, Splitting bundles over hereditary orders, Comm. Algebra 333 pp 2193-- (2005) Vector bundles on curves and their moduli, Semiprime p.i. rings, rings embeddable in matrices over commutative rings, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras J. Block and C. Daenzer, Mukai duality for gerbes with connection, Journal für die Reine und Angewandte Mathematik 639 (2010), 131--171. Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Jøndrup, S.: The geometry of noncommutative plane curves, Commun. algebra 36, No. 9, 3467-3477 (2008) Noncommutative algebraic geometry, Plane and space curves, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative rings
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. Beilinson, Remarks on Topological Algebras, Mosc. Math. J. 8 (2008), 1--20. Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Yang-Mills and other gauge theories in quantum field theory, Supersymmetric field theories in quantum mechanics, Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory)
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras ``Super'' (or ``skew'') structure, Noncommutative algebraic geometry, Supervarieties
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. G. Pinus, \textit{On the lattices of algebraic subsets of universal algebras}, Algebra and model theory, 8, Collection of papers, NSTU, Novosibirsk, 2011, 60--66. Equational classes, universal algebra in model theory, Noncommutative algebraic geometry, Algebraic structures
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras I. Dell'Ambrogio and G. Tabuada, Tensor triangular geometry of non-commutative motives, Adv. Math. 229 (2012), no. 2, 1329-1357. Enriched categories (over closed or monoidal categories), Computations of higher \(K\)-theory of rings, \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Lychagin, V. V.: Braided differential operators and quantization in ABC-categories. C. R. Acad. sci. Paris sér. I math. 318, 857-862 (1994) Enriched categories (over closed or monoidal categories), Noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory, Categories in geometry and topology, General theory of partial differential operators, General topics in partial differential equations, General quantum mechanics and problems of quantization
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Tignol, J. -P.: Corps à involution neutralisés par une extension abélienne elémentaire. Lecture notes in math. 844 (1981) Finite rings and finite-dimensional associative algebras, Rings with involution; Lie, Jordan and other nonassociative structures, Brauer groups (algebraic aspects), Generalizations (algebraic spaces, stacks)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras L. Le Bruyn, Centers of Generic Division Algebras and Zeta-functions, Granada 1986, Lecture Notes in Mathematics, 1328, Springer Representations of quivers and partially ordered sets, Trace rings and invariant theory (associative rings and algebras), Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), Finite rings and finite-dimensional associative algebras, Finite-dimensional division rings, Endomorphism rings; matrix rings, Vector and tensor algebra, theory of invariants
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras DOI: 10.1142/S0217979200001953 Methods of noncommutative geometry in general relativity, Geometry of quantum groups, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Nilpotent groups, Finite nilpotent groups, \(p\)-groups, Noncommutative algebraic geometry, Generalizations (algebraic spaces, stacks), Quasivarieties and varieties of groups
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, \(p\)-adic theory, local fields, Congruences for modular and \(p\)-adic modular forms, Local ground fields in algebraic geometry, Representations of Lie and linear algebraic groups over local fields, Graded rings and modules (associative rings and algebras), Differential graded algebras and applications (associative algebraic aspects)
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras S. V. Lüdkovsky and F. van Oystaeyen, Bull. Sci. Math. 127, 755--796 (2003). Functions of hypercomplex variables and generalized variables, Noncommutative algebraic geometry, Complex supergeometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras 10. A. Grinshpan, D.S. Kaliuzhnyi-Verbovetskyi, V. Vinnikov, H.J. Woerdeman, Contractive determinantal representations of stable polynomials on a matrix polyball. Math. Z. 283 , 25-37 (2016) Determinants, permanents, traces, other special matrix functions, Holomorphic functions of several complex variables, Applications of operator theory in systems, signals, circuits, and control theory, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Connes, A., Fauvet, F., & Ramis, J.-P. (2009). \textit{Renormalization and Galois theories}. Zurich: European Mathematical Society Publishing House. Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to quantum theory, Proceedings, conferences, collections, etc. pertaining to field theory, Proceedings of conferences of miscellaneous specific interest, Perturbative methods of renormalization applied to problems in quantum field theory, Noncommutative geometry methods in quantum field theory, Noncommutative algebraic geometry, Motivic cohomology; motivic homotopy theory, Separable extensions, Galois theory
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Kim, H.; Lee, C. -Y.: N-point deformation of algebraic K3 surfaces. J. math. Phys. 44, 1389-1395 (2003) \(K3\) surfaces and Enriques surfaces, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Abeasis, S.; Del Fra, A., Degenerations for the representations of a quiver of type \({\mathcal{A}}_m\), J. Algebra, 93, 2, 376-412, (1985) Representation theory of associative rings and algebras, Group actions on varieties or schemes (quotients), Formal methods and deformations in algebraic geometry, Geometric invariant theory, Finite rings and finite-dimensional associative algebras
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Topological and ordered rings and modules, Noncommutative local and semilocal rings, perfect rings, Noncommutative algebraic geometry, Nonassociative topological algebras, Ore rings, multiplicative sets, Ore localization
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras W. Lowen and M. Van den Bergh, Deformation theory of abelian categories. Trans. Amer. Math. Soc. 358 (2006), 5441-5483. Deformations and infinitesimal methods in commutative ring theory, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Shoikhet (B.).-- Differential graded categories and Deligne conjecture, arXiv 1303.2500. Enriched categories (over closed or monoidal categories), Differential graded algebras and applications (associative algebraic aspects), Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Supervarieties
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Proceedings, conferences, collections, etc. pertaining to \(K\)-theory, Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Homotopical algebra, Quillen model categories, derivators, \(K_0\) of group rings and orders, Higher algebraic \(K\)-theory, Witt groups of rings, Kasparov theory (\(KK\)-theory), Index theory, Crossed product algebras (analytic crossed products), Proceedings of conferences of miscellaneous specific interest
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras B. I. Plotkin, ''Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras,'' \textit{J. Math. Sci., New York}, \textbf{140}, No. 5, 716-728 (2006). Varieties, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Group rings, Injective modules, self-injective associative rings, Solvable groups, supersolvable groups, Noetherian rings and modules (associative rings and algebras), Modules, bimodules and ideals in associative algebras, Group rings of infinite groups and their modules (group-theoretic aspects), Group schemes, Generalizations of solvable and nilpotent groups
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Salberger, P.:K-theory of orders and their Brauer-Severi schemes. Thesis, Department of Mathematics, University of G?teborg 1985 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Grothendieck groups, \(K\)-theory, etc., Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), Finite rings and finite-dimensional associative algebras, Algebraic cycles, \(K\)-theory of global fields, Parametrization (Chow and Hilbert schemes), Applications of methods of algebraic \(K\)-theory in algebraic geometry, Galois cohomology
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Fomin, S; Procesi, C, Fibered quadratic Hopf algebras related to Schubert calculus, J. Algebra, 230, 174-183, (2000) Quadratic and Koszul algebras, Twisted and skew group rings, crossed products, Graded rings and modules (associative rings and algebras), Grassmannians, Schubert varieties, flag manifolds
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Representations of associative Artinian rings, Representation type (finite, tame, wild, etc.) of associative algebras, Abelian categories, Grothendieck categories, Torsion theories, radicals, Derived categories, triangulated categories
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.), Derived categories, triangulated categories, Abstract and axiomatic homotopy theory in algebraic topology
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Vancliff, M, Primitive and Poisson spectra of twists of polynomial rings, Algebr Represent Theory, 3, 269-285, (1999) Deformations of associative rings, Quantum groups (quantized enveloping algebras) and related deformations, Rings with involution; Lie, Jordan and other nonassociative structures, Ordinary and skew polynomial rings and semigroup rings, Noncommutative algebraic geometry, Birational automorphisms, Cremona group and generalizations
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Khalkhali, M.; Moatadelro, A., A Riemann-Roch theorem for the noncommutative two torus, Journal of Geometry and Physics, 86, 19-30, (2014) Riemann-Roch theorems, Noncommutative algebraic geometry, Noncommutative differential geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. L. Rosenberg, The left spectrum, the Levitzki radical, and noncommutative schemes, Proceedings of the National Academy of Sciences of the United States of America 87 (1990), 8583--8586. Noncommutative algebraic geometry, Ideals in associative algebras, Nil and nilpotent radicals, sets, ideals, associative rings
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Deformations of associative rings, Formal methods and deformations in algebraic geometry
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Abelian categories, Grothendieck categories, Noncommutative algebraic geometry, Module categories in associative algebras, Prime and semiprime associative rings
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Kaufmann, R. M.: Discrete torsion, symmetric products and the Hilbert scheme. Frobenius manifolds, quantum cohomology, and singularities (2004) Noncommutative algebraic geometry, Parametrization (Chow and Hilbert schemes)
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Poisson manifolds; Poisson groupoids and algebroids, Deformation quantization, star products, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Noncommutative algebraic geometry, Deformations of associative rings
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to quantum theory, Research exposition (monographs, survey articles) pertaining to information and communication theory, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture), (Equivariant) Chow groups and rings; motives, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Arcs and motivic integration, Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Model-theoretic algebra, Quantum information, communication, networks (quantum-theoretic aspects), Measures of information, entropy
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Free semigroups, generators and relations, word problems, General structure theory for semigroups, Noncommutative algebraic geometry, Algebraic geometry over groups; equations over groups
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Beggs, E.; Paul Smith, S., Non-commutative complex differential geometry, J. Geom. Phys., 72, 7-33, (2013) Compact analytic spaces, Noncommutative algebraic geometry, Sheaves and cohomology of sections of holomorphic vector bundles, general results, Almost complex manifolds, Noncommutative geometry (à la Connes), Noncommutative differential geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras DOI: 10.1007/BF00961454 Torsion theories; radicals on module categories (associative algebraic aspects), Ideals in associative algebras, Localization and associative Noetherian rings, Noncommutative algebraic geometry, Localization of categories, calculus of fractions, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras G. Baumslag, A. Myasnikov, and V. Remeslennikov, ''Algebraic Geometry Over Groups, I: Algebraic Sets and Ideal Theory,'' J. Algebra 219(1), 16--79 (1999). Free nonabelian groups, General structure theorems for groups, Noncommutative algebraic geometry, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Subgroup theorems; subgroup growth, Geometric group theory, Category of groups
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras V. Baranovsky, V. Ginzburg, and, A. Kuznetsov, Wilson's Grassmannian and a non-commutative quadric, arXiv:math.AG/0203116. Group structures and generalizations on infinite-dimensional manifolds, Rings of differential operators (associative algebraic aspects), Sheaves of differential operators and their modules, \(D\)-modules, Noncommutative algebraic geometry, Grassmannians, Schubert varieties, flag manifolds
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Algebraic operads, cooperads, and Koszul duality, Poisson algebras, Noncommutative algebraic geometry
0
Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Tabuada, Gonçalo, Noncommutative motives, with a preface by Yuri I. Manin, University Lecture Series 63, x+114 pp., (2015), American Mathematical Society, Providence, RI Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and cohomology
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Rings of differential operators (associative algebraic aspects), Picard groups, Vector bundles on curves and their moduli, Representations of quivers and partially ordered sets, Ideals in associative algebras, Rings arising from noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Klaus Bongartz, Some geometric aspects of representation theory, Algebras and modules, I (Trondheim, 1996) CMS Conf. Proc., vol. 23, Amer. Math. Soc., Providence, RI, 1998, pp. 1 -- 27. Representations of quivers and partially ordered sets, Finite rings and finite-dimensional associative algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Group actions on varieties or schemes (quotients), Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras), Representation type (finite, tame, wild, etc.) of associative algebras, Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Global theory and resolution of singularities (algebro-geometric aspects), Singularities in algebraic geometry, Generalizations (algebraic spaces, stacks), Group actions on varieties or schemes (quotients), Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Matrices over function rings in one or more variables, Ordered rings, algebras, modules, Real algebraic sets, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Dym, H.; Greene, J. M.; Helton, J. W.; Mccullough, S. A.: Classification of all noncommutative polynomials whose Hessian has negative signature one and a noncommutative second fundamental form, J. anal. Math. 108, 19-59 (2009) Several-variable operator theory (spectral, Fredholm, etc.), Real polynomials: analytic properties, etc., Multilinear and polynomial operators, Eigenvalues, singular values, and eigenvectors, Real algebraic and real-analytic geometry, Rings arising from noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Representations of quivers and partially ordered sets, Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Kuznetsov, A., \textit{base change for semiorthogonal decompositions}, Compos. Math., 147, 852-876, (2011) Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Deformations of associative rings, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Étale and other Grothendieck topologies and (co)homologies, Differential graded algebras and applications (associative algebraic aspects), Chain complexes (category-theoretic aspects), dg categories
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Noncommutative algebraic geometry, Derived categories, triangulated categories
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Chan D., Ingalls C., The minimal model program for orders over surfaces, Invent. Math., 2005, 161(2), 427--452 Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. G. Myasnikov and N. S. Romanovskii, ''Logical aspects of the theory of divisible rigid groups,'' \textit{Dokl. Akad. Nauk}, \textbf{459}, No. 2, 154/155 (2014). Solvable groups, supersolvable groups, Derived series, central series, and generalizations for groups, Model-theoretic algebra, Applications of logic to group theory, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Subgroup theorems; subgroup growth, Extensions, wreath products, and other compositions of groups, Noncommutative algebraic geometry, Algebraic geometry over groups; equations over groups, Group rings of infinite groups and their modules (group-theoretic aspects)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. V. Trofimov, ''A perfect nontopologizable group,'' Vest. Mosk. Univ. Ser. I. Mat. Mekh., No. 1, 7--13 (2007). Automorphism groups of groups, Cancellation theory of groups; application of van Kampen diagrams, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Power series rings, Topological and ordered rings and modules, Valuations, completions, formal power series and related constructions (associative rings and algebras), Formal power series rings, Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Chan, D., Kulkarni, R.: Del Pezzo Orders on Projective Surfaces. Adv. Math. 173, 144--177 (2003) Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Margaret Beattie, Automorphisms of \?-Azumaya algebras, Canad. J. Math. 37 (1985), no. 6, 1047 -- 1058. Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Graded rings and modules (associative rings and algebras), Automorphisms and endomorphisms, Brauer groups of schemes
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Twisted \(K\)-theory; differential \(K\)-theory, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Tabuada, Gonçalo, Voevodsky's mixed motives versus Kontsevich's noncommutative mixed motives, Adv. Math., 0001-8708, 264, 506-545, (2014) (Equivariant) Chow groups and rings; motives, Noncommutative algebraic geometry, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Motivic cohomology; motivic homotopy theory, Algebraic cycles and motivic cohomology (\(K\)-theoretic aspects), Picard groups, Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects), \(K\)-theory of schemes
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Орлов, Д. О., Геометрические реализации колчанных алгебр, Proc. Steklov Inst. Math., 290, 1, 80-94, (2015) Representations of associative Artinian rings, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras D. Chan and A. Nyman, Non-commutative Mori contractions and \( \mathbb{P}^1\)-bundles, arXiv:0904.1717. Noncommutative algebraic geometry, Minimal model program (Mori theory, extremal rays), Rational and birational maps
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Manin, Yu.: Mirror symmetry and quantization of abelian varieties. In: Faber, C., et al. (eds.) Moduli of Abelian Varieties. Progress in Math., vol. 195, pp. 231--254. Birkhäuser, Boston (2001) e-print (math.AG/0005143) Analytic theory of abelian varieties; abelian integrals and differentials, Calabi-Yau manifolds (algebro-geometric aspects), Theta functions and abelian varieties, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Supervarieties, Noncommutative algebraic geometry, Simple, semisimple, reductive (super)algebras
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras M. C. de Oliveira, J. W. Helton, S. McCullough, and M. Putinar, \textit{Engineering systems and free semi-algebraic geometry}, in Emerging Applications of Algebraic Geometry, IMA Vol. Math. Appl. 149, M. Putinar and S. Sullivant, eds., Springer, New York, 2008, pp. 17--62. Semialgebraic sets and related spaces, Noncommutative algebraic geometry, Computational aspects in algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Fioresi R. and Gavarini F., Chevalley supergroups, Mem. Amer. Math. Soc. 215 (2012), no. 1014. Supervarieties, Noncommutative algebraic geometry, Modular Lie (super)algebras, Supermanifolds and graded manifolds
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Schemes and morphisms, Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, \(K\)-theory and homology; cyclic homology and cohomology
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras \(3\)-folds, Minimal model program (Mori theory, extremal rays), Sheaves in algebraic geometry, Rings arising from noncommutative algebraic geometry, Braid groups; Artin groups, Arrangements of points, flats, hyperplanes (aspects of discrete geometry)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras M. Kang, ?Algebras over an algebraic function field over a perfect field,? J. Algebra,103, No. 1, 320?322 (1986). Division rings and semisimple Artin rings, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Arithmetic theory of algebraic function fields, Finite rings and finite-dimensional associative algebras, Brauer groups of schemes, Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras L. J.Billera, Polyhedral theory and commutative algebra. In: Mathematical Programming (A. Bachem, M. Gr?tschel, B. Korte, Ed.), Berlin-Heidelberg, 57-77 (1983). Polytopes and polyhedra, Integer programming, Exact enumeration problems, generating functions, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Graded rings and modules (associative rings and algebras), Special varieties
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Burban, I.; Drozd, Y.; Gavran, V., Minors and resolutions of non-commutative schemes, European J. math., 3, 2, 311-341, (2017) Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. Berzins and B. Plotkin, ''Algebraic geometry in varieties of algebras with the given algebra of constants,'' J. Math. Sci., 102, No. 3, 4039--4070 (2000). Varieties, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Ivanov, S. O.: Self-injective algebras of stable Calabi-Yau dimension three, J. math. Sci. 188, No. 5, 601-620 (2013) Noncommutative algebraic geometry, Injective modules, self-injective associative rings, Calabi-Yau manifolds (algebro-geometric aspects)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Banica, T.; Bichon, J., Complex analogues of the half-classical geometry, Münster J. math., 10, 457-483, (2017) Applications of selfadjoint operator algebras to physics, Noncommutative algebraic geometry, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, \(T\)-ideals, identities, varieties of associative rings and algebras, Equational classes, universal algebra in model theory, Operations and polynomials in algebraic structures, primal algebras, Categories of algebras
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Baudry, J., Invariants du tore quantique, Bull. sci. math., 134, 531-547, (2010) Noncommutative algebraic geometry, Ring-theoretic aspects of quantum groups, Quantum groups and related algebraic methods applied to problems in quantum theory
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras D. Gaiotto, G.W. Moore and A. Neitzke, \textit{Framed BPS states}, arXiv:1006.0146 [INSPIRE]. Singularities of curves, local rings, Representation theory of associative rings and algebras, Root systems, Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras M. Eckstein, A. Sitarz, R. Wulkenhaar, The Moyal sphere, 2016. arXiv:1601.05576 Noncommutative geometry methods in quantum field theory, Noncommutative geometry in quantum theory, Methods of noncommutative geometry in general relativity, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Yekutieli A., Zhang J.: Dualizing complexes and perverse sheaves on noncommutative ringed schemes. Selecta Math. (N.S.) 12(1), 137--177 (2006) Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Homological functors on modules (Tor, Ext, etc.) in associative algebras, Module categories in associative algebras
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Nyman, A, The Eilenberg-Watts theorem over schemes, J. Pure Appl. Algebra, 214, 1922-1954, (2010) Categories in geometry and topology, Noncommutative algebraic geometry, Module categories in associative algebras, Functor categories, comma categories
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Poisson algebras, Noncommutative algebraic geometry, Poisson manifolds; Poisson groupoids and algebroids
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Formal methods and deformations in algebraic geometry, Noncommutative algebraic geometry, Singularities in algebraic geometry, Minimal model program (Mori theory, extremal rays)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Derived categories and commutative rings, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras E. Yu. Daniyarova and V. N. Remeslennikov, ''Bounded algebraic geometry over free Lie algebras,'' \textit{Algebra and Logic}, \textbf{44}, No. 3, 148-167 (2005). General structure theorems for groups, Free nonabelian groups, Noncommutative algebraic geometry, Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Equational logic, Mal'tsev conditions, Quasivarieties, Equational compactness, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Generators, relations, and presentations of groups, Category of groups, Geometric group theory
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Marco Manetti, Differential graded Lie algebras and formal deformation theory, Algebraic geometry --- Seattle 2005. Part 2, Proc. Sympos. Pure Math., vol. 80, Amer. Math. Soc., Providence, RI, 2009, pp. 785 -- 810. Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Singularities in algebraic geometry, Noncommutative algebraic geometry, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Proceedings of conferences of miscellaneous specific interest
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Karpenko, N. A., Torsion in \(\operatorname{CH}^2\) of Severi-Brauer varieties and indecomposability of generic algebras, Manuscripta Math., 88, 1, 109-117, (1995) Algebraic cycles, Finite-dimensional division rings, \(K\)-theory of schemes, Noncommutative algebraic geometry, Parametrization (Chow and Hilbert schemes), Brauer groups of schemes
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Quadratic algebras (but not quadratic Jordan algebras), Polynomial rings and ideals; rings of integer-valued polynomials, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras DOI: 10.1007/BF02925072 Hyperfunctions, analytic functionals, Relations of PDEs on manifolds with hyperfunctions, Noncommutative algebraic geometry
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras A. INOUE, Foundations of real analysis on the superspace 9?m|'' over oo-dimensional Frechet-Grassman algebra, J. Fac. Sci. Univ. Tokyo sect. IA 39 (1992), 419-474. Supermanifolds and graded manifolds, Noncommutative algebraic geometry, Harmonic analysis in several variables, Other transforms and operators of Fourier type
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Celik, S.: Differential geometry of the \(Z\)\_{}\{3\}-graded quantum superplane. J. Phys. A: Math. Gen. \textbf{35} (2001) Supermanifolds and graded manifolds, Noncommutative algebraic geometry, Quantum groups (quantized function algebras) and their representations, Geometry of quantum groups
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Reyes, Manuel L., Sheaves that fail to represent matrix rings, (Ring theory and its applications, Contemp. math., vol. 609, (2014), Amer. Math. Soc. Providence, RI), 285-297 Noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90), Topoi, Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
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Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Finite rings and finite-dimensional associative algebras Noncommutative algebraic geometry, Partial differential equations on manifolds; differential operators, Motivic cohomology; motivic homotopy theory, Étale and other Grothendieck topologies and (co)homologies, Algebraic cycles
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