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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.; Kwok, S. D.; Gorelik, M. (ed.); Papi, P. (ed.), On SUSY curves, (2014) Analysis on supermanifolds or graded manifolds, Finite-dimensional groups and algebras motivated by physics and their representations, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Supervarieties, Noncommutative algebraic geometry, Supermanifolds and graded manifolds
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 Gonçalo Tabuada, On Drinfeld's dg quotient, J. Algebra 323 (2010), no. 5, 1226 -- 1240. Noncommutative algebraic geometry, Categorical structures
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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Noncommutative algebraic geometry, Derived categories and associative algebras, Derived categories and commutative 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 Z. Sela, ''Diophantine Geometry over Groups. IV: An Iterative Procedure for Validation of a Sentence,'' Isr. J. Math. 143, 1--130 (2004). Word problems, other decision problems, connections with logic and automata (group-theoretic aspects), Free nonabelian groups, Quasivarieties and varieties of groups, Applications of logic to group theory, Diophantine equations in many variables, Noncommutative algebraic geometry, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra
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 associative rings and algebras, Representation theory of associative rings and algebras, Modular representations and characters, Noncommutative algebraic geometry, 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 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Commutative rings of differential operators and their modules, Rings arising from noncommutative algebraic geometry, Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
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 Polishchuk, A.; Vaintrob, A., \textit{Chern characters and Hirzebruch-Riemann-Roch formula for matrix factorizations}, Duke Math. J., 161, 1863-1926, (2012) Noncommutative algebraic geometry, Singularities in algebraic geometry, Complex surface and hypersurface singularities
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, Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product), General theory of \(C^*\)-algebras, Loop groups and related constructions, group-theoretic treatment, Topology of vector bundles and fiber bundles
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, 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 Rings with polynomial identity, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Graded rings and modules (associative rings and algebras), Endomorphism rings; matrix rings, Applications of methods of algebraic \(K\)-theory in algebraic geometry, Clifford algebras, spinors
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. Shevlyakov, ''On disjunctions of equations over semigroups,'' arXiv:1305.6842. Free semigroups, generators and relations, word problems, Algebraic geometry over groups; equations over groups, Noncommutative algebraic geometry, Algebraic monoids
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, G., \(\mathbb{A}^1\)-homotopy invariants of dg orbit categories, J. algebra, 434, 169-192, (2015) Cluster algebras, Noncommutative algebraic geometry, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Karoubi-Villamayor-Gersten \(K\)-theory, Negative \(K\)-theory, NK and Nil, \(K\)-theory and homology; cyclic homology and 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 Brauer groups (algebraic aspects), Noncommutative algebraic geometry, Brauer groups of schemes, Grothendieck groups, \(K\)-theory, etc., Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Enriched categories (over closed or monoidal categories), \(K_2\) and the Brauer group, Singularities of curves, local 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 DOI: 10.1007/s12188-009-0031-2 Spin and Spin\({}^c\) geometry, Lie algebras of vector fields and related (super) algebras, Supermanifolds and graded manifolds, Differential geometry of homogeneous manifolds, Noncommutative algebraic geometry, Supervarieties, Complex supergeometry
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 Parshall B., Quart. J. Math. Oxford 2 pp 345-- (1995) Representation theory for linear algebraic groups, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Group actions on varieties or schemes (quotients)
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 Sartori, A.: A diagram algebra for Soergel modules corresponding to smooth Schubert varieties. Trans. Amer. Math. Soc. (2013). 10.1090/tran/6346 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), Symmetric functions and generalizations, Polynomial rings and ideals; rings of integer-valued polynomials, Grassmannians, Schubert varieties, flag manifolds, Graded rings and modules (associative rings and algebras)
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, Singularities in algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Complex surface and hypersurface singularities, Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants
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 Grassmannians, Schubert varieties, flag manifolds, Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.), Topology of real algebraic varieties, Graded rings and modules (associative rings and algebras), ``Super'' (or ``skew'') structure, Quantum groups (quantized function algebras) and their representations
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. Nanayakkara, Terminal resolutions of Brauer pairs, PhD thesis, University of New Brunswick, 2010. Brauer groups of schemes, Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Minimal model program (Mori theory, extremal rays)
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 Quasivarieties and varieties of groups, Solvable groups, supersolvable groups, Model-theoretic algebra, Noncommutative algebraic geometry, Generators, relations, and presentations of groups, Automorphisms of infinite 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 Noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Derived categories and associative algebras
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 Jiang, Z.: Varieties with \(q(X)=\dim (X)\) and \(P_2(X)=2\). Ann. Sc. Norm. Super. Pisa Cl. Sci. \textbf{XI}, 243-258 (2012) Noncommutative algebraic geometry, Deformation quantization, star products, Generalizations (algebraic spaces, stacks), Noncommutative geometry (à la Connes)
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 Infinitesimal methods in algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Noncommutative algebraic geometry, Formal neighborhoods in algebraic geometry, Homotopical algebra, Quillen model categories, derivators, Derived categories of sheaves, dg categories, and related constructions 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 De Völcsey, L. De Thanhoffer; Den Bergh, M. Van: Explicit models for some stable categories of maximal Cohen-Macaulay modules Representations of quivers and partially ordered sets, Rings arising from noncommutative algebraic geometry, Rational and ruled surfaces
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, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.), Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories and associative algebras
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 Supervarieties, Noncommutative algebraic geometry, Fine and coarse moduli spaces, Riemann surfaces; Weierstrass points; gap sequences
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 Frønsdal, C.; Kontsevich, M., Quantization on curves, Lett. Math. Phys., 79, 109-129, (2007) Deformation quantization, star products, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Associative rings of functions, subdirect products, sheaves of rings, Geometry and quantization, symplectic methods
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 Babson, E.; Huisgen-Zimmermann, B.; Thomas, R.: Moduli spaces of graded representations of finite dimensional algebras, Contemp. math. 419, 7-27 (2006) Representations of quivers and partially ordered sets, Algebraic moduli problems, moduli of vector bundles, Graded rings and modules (associative rings and algebras)
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 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup 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 Anne-Marie Aubert, Paul Baum, and Roger Plymen, The Hecke algebra of a reductive \?-adic group: a geometric conjecture, Noncommutative geometry and number theory, Aspects Math., E37, Friedr. Vieweg, Wiesbaden, 2006, pp. 1 -- 34. Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Module categories in associative algebras, Ordinary representations and characters, Hecke algebras and their representations
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 J. Cimprič, Y. Savchuk and K. Schmüdgen, On \(q\)-normal operators and quantum complex plane, Trans. Amer. Math. Soc. 366 (2014), 135--158. Noncommutative algebraic geometry, Real algebraic and real-analytic geometry, Rings with involution; Lie, Jordan and other nonassociative structures, Noncommutative function spaces, Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Algebras of unbounded operators; partial algebras of operators
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 L. Szpiro, Sur la théorie des complexes parfaits, Commutative algebra: Durham 1981 (Durham, 1981) London Math. Soc. Lecture Note Ser., vol. 72, Cambridge Univ. Press, Cambridge-New York, 1982, pp. 83 -- 90. Riemann-Roch theorems, Graded rings and modules (associative rings and algebras)
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. Popescu, Berezin transforms on noncommutative polydomains, preprint (2013), ; to appear in Trans. Amer. Math. Soc. Canonical models for contractions and nonselfadjoint linear operators, Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Several-variable operator theory (spectral, Fredholm, etc.), 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 N. Prabhu-Naik, Tilting bundles on toric Fano fourfolds, J. Algebra, 471 (2017), 348--398. Noncommutative algebraic geometry, Cluster algebras, Homogeneous spaces
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 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Elliptic genera, Calabi-Yau manifolds (algebro-geometric aspects), 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.), Elliptic curves, Graded rings and modules (associative rings and algebras), Jacobi forms, Modular and automorphic functions, Sheaves and cohomology of sections of holomorphic vector bundles, general results
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 Equisingularity (topological and analytic), Noncommutative algebraic geometry, Group actions on varieties or schemes (quotients), Poisson manifolds; Poisson groupoids and algebroids
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 Lowen, W.: Grothendieck categories and their deformations with an application to schemes. Mat. contemp. 41, 27-48 (2012) Noncommutative algebraic geometry, Module categories in associative algebras, 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 Baciu, C.: Maximal Cohen -- Macaulay modules over the affine cone of the simple node Cohen-Macaulay modules, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Vector bundles on curves and their moduli, Special algebraic curves and curves of low genus, Graded rings and modules (associative rings and algebras), Complex surface and hypersurface singularities
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 Sela, Z., ''Diophantine geometry over groups, VIII: Stability,'' Annals of Mathematics (2), vol. 177 (2013), 787--868. Algebraic geometry over groups; equations over groups, Hyperbolic groups and nonpositively curved groups, Free nonabelian groups, Classification theory, stability, and related concepts in model theory, Decidability of theories and sets of sentences, Basic properties of first-order languages and structures, Model-theoretic algebra, Applications of logic to group theory, Noncommutative algebraic geometry, Word problems, other decision problems, connections with logic and automata (group-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 Coghlan, F.; Hoffman, P.: Division graded algebras in the Brauer--wall group. Canad. math. Bull. 39, 21-24 (1996) Finite-dimensional division rings, Brauer groups of schemes, Graded rings and modules (associative rings and algebras)
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 I. V. Chirkov and M. A. Shevelin, ''Zero divisors in amalgamated free products of Lie algebras,'' Sib. Math. J., 45, No. 1, 188--195 (2004). Identities, free Lie (super)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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Derived categories and associative algebras, Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc., Quadratic and Koszul algebras, Rings arising from noncommutative algebraic geometry, 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 A. N. Zubkov, \textit{Some homological properties of} GL(\(m\)|\(n\)) \textit{in arbitrary characteristic}, J. Algebra Appl. \textbf{15} (2016), no. 7, 1650119, 26 pp. Supervarieties, Noncommutative algebraic geometry, Group 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 Angeleri Hügel, L., Kussin, D.: Large tilting sheaves over weighted noncommutative regular projective curves (2016). Preprint arXiv:1508.03833 Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, Elliptic curves, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
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 Jaka Cimprič, A method for computing lowest eigenvalues of symmetric polynomial differential operators by semidefinite programming, J. Math. Anal. Appl. 369 (2010), no. 2, 443 -- 452. Semidefinite programming, Nonconvex programming, global optimization, Numerical mathematical programming methods, 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 O. Schiffmann and E. Vasserot, \textit{Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on A}2, arXiv:1202.2756. Noncommutative algebraic geometry, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), String and superstring theories; other extended objects (e.g., branes) in 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 External book reviews, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, Schemes and morphisms, Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, Finite ground fields in algebraic geometry, Witt vectors and related rings, Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses, Arithmetic varieties and schemes; Arakelov theory; heights, \(K\)-theory of schemes, Collections of articles 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 Petter Andreas Bergh and Dag Madsen, Hochschild homology and split pairs, Bull. Sci. Math. 134 (2010), no. 7, 665 -- 676. (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Complete intersections
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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 geometry (à la Connes), Noncommutative algebraic geometry, Methods of noncommutative geometry in general relativity, Representations of quivers and partially ordered sets
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, 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 Noncommutative algebraic geometry, Plane and space curves, Affine geometry, Group rings, Simple and semisimple modules, primitive rings and ideals in associative algebras, Representations of orders, lattices, algebras over commutative 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 Makhlouf, A.: Comparison of deformations and geometric study of associative algebras varieties. Int. J. Math. Math. Sci., article ID 18915 (2007) Deformations of associative rings, Finite rings and finite-dimensional associative algebras, 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
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 Formal methods and deformations in algebraic geometry, Graded rings and modules (associative rings and algebras), Homotopical algebra, Quillen model categories, derivators, Deformations of complex 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 Noncommutative algebraic geometry, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to 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 Quadratic and Koszul algebras, Yang-Baxter equations, 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 V. Ginzburg, ''Harish-Chandra bimodules for quantized Slodowy slices,'' Represent. Theory, vol. 13, pp. 236-271, 2009. Coadjoint orbits; nilpotent varieties, Noncommutative algebraic geometry, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
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 Fioresi R. and Gavarini F., On the construction of Chevalley supergroups, Supersymmetry in Mathematics and Physics (Los Angeles 2010), Lecture Notes in Math. 2027, Springer, Berlin (2011), 101-123. 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 Noncommutative algebraic geometry, Variation of Hodge structures (algebro-geometric aspects), \(A_{\infty}\)-categories, relations with homological mirror symmetry, Period matrices, variation of Hodge structure; degenerations
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 M. G. Amaglobeli, ''G-identities of nilpotent groups, I,'' Algebra Logika, 40, No. 1, 3--21 (2001). Quasivarieties and varieties of groups, Noncommutative algebraic geometry, Nilpotent groups, General structure theorems for groups, 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 Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Formal methods and deformations in algebraic geometry, Graded rings and modules (associative rings and algebras), Homotopical algebra, Quillen model categories, derivators
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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
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 R. Bocklandt, \textit{Generating toric noncommutative crepant resolutions}, arXiv:1104.1597 [INSPIRE]. Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Global theory and resolution of singularities (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 Representations of associative Artinian rings, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Group actions on varieties or schemes (quotients), Representation type (finite, tame, wild, etc.) of associative algebras, Finite rings and finite-dimensional associative algebras
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. Ikeda, 'Stability conditions on CYN categories associated to An-quivers and period maps', \textit{Math. Ann.}367 (2017) 1-49. Calabi-Yau manifolds (algebro-geometric aspects), Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Representations of associative Artinian rings, Derived categories and associative algebras
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 Formal methods and deformations in algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Deformation quantization, star products, Polycategories/dioperads, properads, PROPs, cyclic operads, modular operads, Noncommutative algebraic geometry, Quantization in field theory; cohomological methods, Chain complexes (category-theoretic aspects), dg 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 Daniyarova E. Yu., Myasnikov A. G., and Remeslennikov V. N., ''Algebraic geometry over algebraic structures. VI. Geometrical equivalence,'' Algebra and Logic (to be published). Algebraic structures, Equational classes, universal algebra in model 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 Polishchuk, A.; Rothstein, M., Fourier transform for \textit{D}-algebras, Duke math. J., 109, 1, 123-146, (2001) Noncommutative algebraic geometry, Algebraic theory of abelian 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 Brauer groups (algebraic aspects), Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Groupoids, semigroupoids, semigroups, groups (viewed as categories), 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 Representations of associative Artinian rings, Representations of quivers and partially ordered sets, Representation type (finite, tame, wild, etc.) of associative algebras, Group actions on varieties or schemes (quotients), Finite rings and finite-dimensional associative algebras
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 Elliptic curves, Noncommutative topology, 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 Rings of differential operators (associative algebraic aspects), Automorphisms and endomorphisms, Group actions on varieties or schemes (quotients), Rings arising from 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 Noncommutative algebraic geometry, Formal methods and deformations in algebraic geometry, Monodromy; relations with differential equations and \(D\)-modules (complex-analytic 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 M. Schaps, Moduli of commutative and non-commutative covers , Israel J. Math. 58 (1987), 67-102. Formal methods and deformations in algebraic geometry, Software, source code, etc. for problems pertaining to algebraic geometry, Grothendieck groups, \(K\)-theory and commutative rings, Deformations of associative rings, Coverings in algebraic geometry, Finite rings and finite-dimensional associative algebras, Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
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 Bowne-Anderson, H.: The explicit construction of orders on surfaces, (2011) Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric 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 DOI: 10.4171/JNCG/136 Noncommutative algebraic geometry, Pencils, nets, webs in algebraic geometry, Picard 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 Noncommutative algebraic geometry, Classical or axiomatic geometry and physics, Applications of local differential geometry to the sciences
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 Cohen-Macaulay modules, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Syzygies, resolutions, complexes and commutative rings, Vector bundles on curves and their moduli, Plane and space curves, Noncommutative algebraic geometry, Vector bundles on curves and their moduli, Elliptic curves
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 Etingof, P.; Oblomkov, A.; Rains, E., \textit{generalized double affine Hecke algebras of rank 1 and quantized del Pezzo surfaces}, Adv. Math., 212, 749-796, (2007) Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Hecke algebras and their representations
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 D. Calaque, C. Rosso, and M. Van den Bergh, Hochschild (co)homology for Lie algebroids. Internat. Math. Res. Notices 2010 (2010), No. 21, 4098--4136. Noncommutative algebraic geometry, Connections (general 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 N. Romanovskii, ''Algebraic sets in metabelian groups,'' Algebra Logic, 46, No. 4, 274--280 (2007). Solvable groups, supersolvable groups, Free nonabelian groups, Quasivarieties and varieties of groups, Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, Noncommutative algebraic geometry, Model-theoretic algebra
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 Bruns W., Gubeladze J.: Polytopal linear groups. J. Algebra 218, 715--737 (1999) Semigroup rings, multiplicative semigroups of rings, Toric varieties, Newton polyhedra, Okounkov bodies, Ordinary and skew polynomial rings and semigroup rings, Other geometric groups, including crystallographic groups, Actions of groups on commutative rings; invariant theory, Graded rings and modules (associative rings and algebras), Lattice polytopes in convex geometry (including relations with commutative algebra and 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 Real algebraic and real-analytic geometry, Noncommutative algebraic geometry, Algebras of unbounded operators; partial algebras of operators, Ordered rings, Ordered fields, Rings with involution; Lie, Jordan and other nonassociative structures
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 Beattie, M.: Computing the Brauer group of graded Azumaya algebras from its subgroups. J. algebra 101, 339-349 (1986) Graded rings and modules (associative rings and algebras), Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Brauer groups of 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 Representation type (finite, tame, wild, etc.) of associative algebras, Representations of orders, lattices, algebras over commutative rings, Group actions on varieties or schemes (quotients), Finite rings and finite-dimensional associative algebras
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 Local cohomology and commutative rings, Local cohomology and algebraic geometry, Graded rings and modules (associative rings and algebras)
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 Representation theory of associative rings and algebras, Finite rings and finite-dimensional associative algebras, Singularities of curves, local 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 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
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 J. Wess, \textit{Deformed coordinate spaces: derivatives}, in \textit{Proceedings BW}2003 \textit{workshop, Vrnjacka Banja, Serbia and Montenegro}, G. Djordjevic, L. Nesic and J. Wess eds., World Scientific Singapore, (2005) [ISBN:9789812561305 (Print), 9789814481137 (Online)] [hep-th/0408080] [INSPIRE]. Local deformation theory, Artin approximation, etc., Bimodules in associative algebras, Drinfel'd modules; higher-dimensional motives, etc., Noncommutative algebraic geometry, Hopf algebras and their applications
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, \(\mathbb{A}^1\)-homotopy invariance of algebraic \(K\)-theory with coefficients and du Val singularities, Ann. K-Theory, 2, 1, 1-25, (2017) Noncommutative algebraic geometry, Singularities of curves, local rings, \(K\)-theory of schemes, Klein surfaces, Witt vectors and related 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 Daniel Chan, Noncommutative cyclic covers and maximal orders on surfaces, Adv. Math. 198 (2005), no. 2, 654 -- 683. Brauer groups of schemes, Rational and ruled 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 Artin M., Maximal orders of global dimension and Krull dimension two, Invent. Math., 1986, 84(1), 195--222 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Chain conditions on annihilators and summands: Goldie-type conditions, Homological dimension in associative algebras, Finite rings and finite-dimensional associative algebras, Representation theory of associative rings and algebras, Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.), Singularities of surfaces or higher-dimensional varieties, Commutative Noetherian rings and modules
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 7. I. Gordon, Rational Cherednik algebras, in Proc. Int. Cong. Mathematicians, Vol. III, (Hindustan Book Agency, New Delhi, 2010), pp. 1209-1225. Representations of orders, lattices, algebras over commutative rings, Associative rings and algebras arising under various constructions, Lie algebras and Lie superalgebras, Noncommutative algebraic geometry, Hecke algebras and their representations, Reflection and Coxeter groups (group-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 Rigidity results, Noncommutative algebraic geometry, (Equivariant) Chow groups and rings; motives, Motivic cohomology; motivic homotopy theory, Enriched categories (over closed or monoidal categories), \(K\)-theory and homology; cyclic homology and 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 Cazzaniga, A., Morrison, A., Pym, B., Szendroi, B.: Motivic Donaldson-Thomas invariants of some quantized threefolds. arXiv:1510.08116 Noncommutative algebraic geometry, Calabi-Yau manifolds (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Representations of quivers and partially ordered sets
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 Rigid analytic geometry, Modular and Shimura varieties, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials, Rings arising from noncommutative algebraic geometry, Representations of Lie and linear algebraic groups over local fields
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. Polishchuk, Noncommutative proj and coherent algebras. Math. Res. Lett. 12 (2005), 63-74. 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 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects), Noncommutative algebraic geometry, Noncommutative differential geometry, 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 Yekutieli, A., Zhang, J.J.: Rigid complexes via DG algebras. Trans. AMS 360, 3211--3248 (2008) Resolutions; derived functors (category-theoretic aspects), Differential graded algebras and applications (associative algebraic aspects), Ext and Tor, generalizations, Künneth formula (category-theoretic aspects), 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 geometry (à la Connes), Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative algebraic geometry, Operations and obstructions in algebraic topology
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