text
stringlengths
68
2.01k
label
int64
0
1
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 Davies, Andrew, Cocycle twists of 4-dimensional Sklyanin algebras, J. Algebra, 457, 323-360, (2016) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (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, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Rings arising from noncommutative algebraic geometry, Dimension theory, depth, related commutative rings (catenary, 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 Staniszkis J.M.: The 4-dimensional Sklyanin algebra. J. Algebra 167(1), 104--115 (1994) Quantum groups (quantized enveloping algebras) and related deformations, Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras), Graded rings and modules (associative rings and algebras), 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 Nyman, A, Noncommutative tsen's theorem in dimension one, J. Algebra, 434, 90-114, (2015) Noncommutative algebraic geometry, Special algebraic curves and curves of low genus, 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 Research exposition (monographs, survey articles) pertaining to algebraic geometry, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Categories in geometry and 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 T. H. Lenagan and L. Rigal, Quantum analogues of Schubert varieties in the Grassmannian, Glasg. Math. J. 50 (2008), no. 1, 55 -- 70. Grassmannians, Schubert varieties, flag manifolds, Divisibility, noncommutative UFDs, Rings arising from noncommutative algebraic geometry, Noetherian 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 Chan, Daniel; Kulkarni, Rajesh S.: Moduli of bundles on exotic del Pezzo orders, Amer. J. Math. 133, No. 1, 273-293 (2011) Rings arising from noncommutative algebraic geometry, Algebraic moduli problems, moduli of vector bundles, 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 Keeler, D. S.: The rings of noncommutative projective geometry. Advances in algebra and geometry, 195-207 (2003) Noncommutative algebraic geometry, Projective techniques in algebraic geometry, Noetherian 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 J. T. Stafford and M. Van den Bergh, Noncommutative resolutions and rational singularities, Michigan Math. J. 57 (2008), 659-674. Special volume in honor of Melvin Hochster. Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Homological dimension (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 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Singularities 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 Noncommutative algebraic geometry, Sheaves in algebraic geometry, Curves in algebraic geometry, Module categories in associative algebras, Representation theory of associative rings and algebras, Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.), Rings arising from noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of rings, Homological algebra in category theory, derived categories and functors
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, Rings arising from noncommutative algebraic geometry, Real 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 Noncommutative algebraic geometry, de Rham cohomology and algebraic geometry, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, 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 Noncommutative algebraic geometry, Global theory and resolution of singularities (algebro-geometric aspects), 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 D. Chan, R. Kulkarni, Numerically Calabi-Yau orders on surfaces, J. London Math. Soc., to appear. Noncommutative algebraic geometry, 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, Rings arising from noncommutative algebraic geometry, Fibrations, degenerations 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 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture)
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. P. Smith and J. J. Zhang,Curves on quasi-schemes, Algebras and Representation Theory1 (1998), 311--351. Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Special algebraic curves and curves of low genus, Relationships between algebraic curves and physics, \(K_0\) of other rings, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations
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 Cortiñas, G, The structure of smooth algebras in kapranov's framework for noncommutative geometry, J. Algebra, 281, 679-694, (2004) Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., 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 Smith, S. Paul, Maps between non-commutative spaces, Trans. Amer. Math. Soc., 356, 7, 2927-2944, (2004) Noncommutative algebraic geometry, 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 Graded rings and modules (associative rings and algebras), Universal enveloping (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 Vitória, J., Perverse coherent t-structures through torsion theories, Algebr. Represent. Theory, 17, 4, 1181-1206, (2014) Derived categories and commutative rings, Torsion theory for commutative rings, Derived categories and associative algebras, Rings arising from noncommutative 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 Sierra, S.S., Walton, Ch.: The universal enveloping algebra of Witt algebra is not noetherian. ArXiv:1304.0114 [math.RA] Noncommutative algebraic geometry, Universal enveloping algebras of Lie algebras, Rings arising from noncommutative algebraic geometry, Virasoro and related 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 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Bimodules in associative algebras, Module categories in associative algebras, Associative rings of functions, subdirect products, sheaves of 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 G. Halbout, X. Tang, Dunkl operator and quantization of Z/2-singularity. J. für die Reine und Ang. Mat. 2012(673), 209-235 Geometric quantization, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Lie algebras of linear algebraic 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 Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, 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 Martino M.: The Associated variety of a Poisson Prime Ideal. J. London Math. Soc. 72(2), 110--120 (2005) Noncommutative algebraic geometry, Filtered associative rings; filtrational and graded techniques, Prime and semiprime associative rings, Rings arising from noncommutative algebraic geometry, Deformations of associative rings, Poisson 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 Tomlin, D., Vancliff, M.: The one-dimensional line scheme of a family of quadratic quantum \({\mathbb{P}}^{3}\)s (2017) \textbf{(preprint)}. arXiv:1705.10426 Noncommutative algebraic geometry, Quadratic and Koszul algebras, 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 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Mirror symmetry (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Gromov-Witten invariants, quantum cohomology, Frobenius 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 Ordinary and skew polynomial rings and semigroup rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Ring-theoretic aspects of quantum 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 Singularities of surfaces or higher-dimensional varieties, Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Twisted and skew group rings, crossed products, Rings arising from noncommutative algebraic geometry, Actions of groups and semigroups; invariant theory (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 Laudal O., Algebraic Geometry 687 pp 31-- (1978) Noncommutative algebraic geometry, 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 D. R. Stephenson, ''Artin-Shelter regular algebras of global dimension three,'' J. Algebra, 183, No. 1, 55--73 (1996). Graded rings and modules (associative rings and algebras), Homological dimension in associative algebras, Noetherian rings and modules (associative rings and algebras), Ordinary and skew polynomial rings and semigroup rings, 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 Abhyankar, S.: Uniformization in a \( p\)-cyclic extension of a two dimensional regular local domain of residue field characteristic \( p\) . Festschrift zur Gedächtnisfeier für Karl Weierstrass 1815 - 1965, Wissenschaftliche Abhandlungen des Landes Nordrhein-Westfalen \textbf{33} (1966), 243-317, Westdeutscher Verlag, Köln und Opladen Noncommutative algebraic geometry, Cohen-Macaulay modules, Global theory and resolution of singularities (algebro-geometric aspects), Riemann-Roch theorems, Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes and commutative rings, 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 Armour, A.; Zhang, Y.; Geometric Classification of 4-Dimensional Superalgebras, Chapter Algebra, Geometry and Mathematical Physics; Springer Proc. Math. Stat.: 2014; Volume 85 ,291-323. ``Super'' (or ``skew'') structure, Foundations of algebraic geometry, Finite rings and finite-dimensional associative algebras, 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 Škoda, Z.: Noncommutative localization in noncommutative geometry, Noncommutative localization in algebra and topology, 220-313 (2006) Torsion theories; radicals on module categories (associative algebraic aspects), Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Ore rings, multiplicative sets, Ore localization, Localization and associative Noetherian rings, Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Localization of categories, calculus of fractions
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, Quantum groups (quantized enveloping algebras) and related deformations, Rings with polynomial identity, 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 Borowiec A., Adv. Math. 115 pp 250-- (1995) Deformations of associative rings, Quantum groups (quantized enveloping algebras) and related deformations, Rings of differential operators (associative algebraic aspects), Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Quantum groups and related algebraic methods applied to problems in quantum theory, Pseudogroups and differentiable groupoids, \(p\)-adic cohomology, crystalline 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 Serre, J.-P.: Galois Cohomology, Springer Monographs in Mathematics, Translated from the French by Patrick Ion, Berlin, New York Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of quivers and partially ordered sets, Associative rings of functions, subdirect products, sheaves of 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 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Free 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 Graded rings, Graded rings and modules (associative rings and algebras), Module categories in associative algebras, Rings arising from noncommutative algebraic geometry, Curves 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 Collections of abstracts of lectures, Proceedings of conferences of miscellaneous specific interest, Noncommutative algebraic geometry, Proceedings, conferences, collections, etc. pertaining to algebraic geometry, Proceedings, conferences, collections, etc. pertaining to associative rings and algebras, 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 Clifford algebras, spinors, ``Super'' (or ``skew'') structure, Graded rings and modules (associative rings and 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 Frédéric Latour, Representations of rational Cherednik algebras of rank 1 in positive characteristic , J. Pure Appl. Alg. 195 (2005), 97-112. Representations of orders, lattices, algebras over commutative rings, Noncommutative algebraic geometry, 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 Jørgensen, P., Finite Cohen-Macaulay type and smooth non-commutative schemes, Canad. J. Math., 60, 379-390, (2008) Noncommutative algebraic geometry, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), 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 Rings arising from noncommutative algebraic geometry, Syzygies, resolutions, complexes in 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 Noncommutative algebraic geometry, Local deformation theory, Artin approximation, etc., Calabi-Yau manifolds (algebro-geometric aspects), Rings arising from noncommutative algebraic geometry, Abelian categories, Grothendieck categories, Deformations of submanifolds and subspaces
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, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Centralizing and normalizing extensions
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 Growth rate, Gelfand-Kirillov dimension, Graded rings and modules (associative rings and algebras), Representation theory for linear algebraic groups, Classical groups (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 Rosenberg, A.L.: Noncommutative schemes. Comp. Math. 112, 93--125 (1995) Noncommutative algebraic geometry, 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 Brown, K. A., Symplectic reflection algebras, Irish Math. Soc. Bull., 50, 27-49, (2003) Noetherian rings and modules (associative rings and algebras), Poisson algebras, Poisson manifolds; Poisson groupoids and algebroids, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Group actions on varieties or schemes (quotients), Rings arising from noncommutative algebraic geometry, Twisted and skew group rings, crossed products, 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 Ramdorai, S.; Plazas, J.; Marcolli, M.: Introduction to motives. Noncommutative geometry and physics: renormalisation, motives, index theory, 41-88 (2011) (Equivariant) Chow groups and rings; motives, Cohomology theory for linear algebraic groups, \(K\)-theory and homology; cyclic homology and cohomology, Noncommutative algebraic geometry, 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 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Noncommutative algebraic geometry, Schemes and morphisms, Graded rings and modules (associative rings and algebras), Associative rings of functions, subdirect products, sheaves of 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 Bueso, J. L., Jara, P., and Verschoren, A., Compatibility, stability and sheaves: un ménage à trois, monograph, to appear. Research exposition (monographs, survey articles) pertaining to associative rings and algebras, Torsion theories; radicals on module categories (associative algebraic aspects), Associative rings of functions, subdirect products, sheaves of rings, Localization and associative Noetherian rings, Noncommutative algebraic geometry, Noetherian rings and modules (associative rings and algebras), Module categories in associative algebras, General radicals and associative rings, Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials
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 Mori, I.: Noncommutative projective schemes and point schemes. In: Algebras, Rings and Their Representations, pp. 215-239. World Scientific, Hackensack (2006) Noncommutative algebraic geometry, 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 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Derived categories and 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 Andruskiewitsch, N., Angiono I., Heckenberger, I.: Liftings of Jordan and super Jordan planes. In: Proceedings of the Edinburgh Mathematical Society, series II, to appear. arXiv:1512.09271 Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Representations of orders, lattices, algebras over commutative rings, Quadratic and Koszul 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 Lenagan, T. H.; Rigal, L., Quantum graded algebras with a straightening law and the \textit{AS}-Cohen-Macaulay property for quantum determinantal rings and quantum Grassmannians, J. Algebra, 301, 2, 670-702, (2006) Rings arising from noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Quadratic and Koszul algebras, Grassmannians, Schubert varieties, flag 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 D.-M. Lu, J. H. Palmieri, Q.-S. Wu, and J. J. Zhang, ''Regular algebras of dimension 4 and their A -Extalgebras,'' Duke Math. J. 137(3), 537--584 (2007). Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Graded rings and modules (associative rings and algebras), Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting), Ring-theoretic aspects of quantum groups, Noncommutative algebraic geometry, Homological dimension in associative algebras
1
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 Craw, A; Quintero Vélez, A, Cellular resolutions of noncommutative toric algebras from superpotentials, Adv. Math., 229, 1516-1554, (2012) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Toric varieties, Newton polyhedra, Okounkov bodies, Syzygies, resolutions, complexes in associative algebras, 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 DOI: 10.1023/A:1016070804549 Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Category-theoretic methods and results in associative algebras (except as in 16D90)
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. Artin, J. Tate, M. Van den Bergh, Modules over regular algebras of dimension \(\(3\)\). Invent. Math. 106(2), 335-388 (1991) Noncommutative algebraic geometry, Other algebras and orders, and their zeta and \(L\)-functions, Graded rings and modules (associative rings and algebras), \(3\)-folds, Homological dimension in 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 P. Jørgensen, Serre-Duality for \(\mathrm {Tails}(A)\), Proc. Amer. Math. Soc., this issue. Noncommutative algebraic geometry, Homological functors on modules (Tor, Ext, etc.) in associative algebras, Graded rings and modules (associative rings and algebras), Rings with polynomial identity
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, Rings of differential operators (associative algebraic aspects), 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 Adam Nyman, Serre finiteness and Serre vanishing for non-commutative \Bbb P\textonesuperior -bundles, J. Algebra 278 (2004), no. 1, 32 -- 42. Noncommutative algebraic geometry, 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 Bell, J., Launois, S., Nguyen, N.: Dimension and enumeration of primitive ideals in quantum algebras. J. Algebr. Comb. 29(3), 269--294 (2009) Ring-theoretic aspects of quantum groups, Ideals in associative algebras, Growth rate, Gelfand-Kirillov dimension, Rings arising from noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, 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 Tacchella, A.: An introduction to associative geometry with applications to integrable systems. J. Geom. Phys. (to appear). arXiv:1611.00644 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Differential graded algebras and applications (associative algebraic aspects), Noncommutative algebraic geometry, Relationships between algebraic curves and integrable systems, Rings arising from noncommutative algebraic geometry, Noncommutative differential 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 Jordan, D.; Orem, H., An algebro-geometric construction of lower central series of associative algebras, \textit{Int. Math. Res. Not. IMRN}, 15, 6330-6352, (2015) Rings arising from noncommutative algebraic geometry, Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.), Noncommutative algebraic geometry, Associative rings of functions, subdirect products, sheaves of 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 Jørgensen, P., Non-commutative Castelnuovo-Mumford regularity, Math. Proc. Camb. Phil. Soc., 125, 203-221, (1999) Noncommutative 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 Rogalski, D., Noncommutative projective geometry, Noncommutative algebraic geometry, 13-70, (2016), Cambridge University Press: Cambridge University Press, New York Noncommutative algebraic geometry, 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 DOI: 10.2307/2154589 Quantum groups (quantized enveloping algebras) and related deformations, Homological dimension in associative algebras, Graded rings and modules (associative rings and algebras), Noetherian rings and modules (associative rings and algebras), 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 Jørgensen, P.: A noncommutative BGG correspondence, Pacific J. Math. 218, 357-377 (2005) Noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, 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 Vancliff, M.: The defining relations of quantum n\(\times n\) matrices. J. lond. Math. soc. (2) 52, No. 2, 255-262 (1995) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Graded rings and modules (associative rings and algebras), Quantum groups and related algebraic methods applied to problems in quantum theory, Automorphisms of curves, Low codimension problems 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 Berest, Y., Wilson, G.: Ideal classes of the Weyl algebra and noncommutative projective geometry. Int. Math. Res. Not. 2002(26), 1347--1396 (2002) (with an appendix by Michel Van den Bergh) Ordinary and skew polynomial rings and semigroup rings, Ideals in associative algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Automorphisms and endomorphisms
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 Chan, D.: Twisted multi-homogeneous coordinate rings. J. algebra 223, 438-456 (2000) Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics, 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 Other ``noncommutative'' mathematics based on \(C^*\)-algebra theory, Noncommutative function spaces, Functional calculus in topological algebras, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, Quantizations, deformations for selfadjoint operator 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 Motivic cohomology; motivic homotopy theory, Noncommutative algebraic geometry, Rings arising from noncommutative algebraic geometry, \(K\)-theory of schemes, Deformations of complex singularities; vanishing cycles
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 in associative algebras, Graphs and linear algebra (matrices, eigenvalues, etc.), Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes, Rings arising from noncommutative algebraic geometry, Derived categories, triangulated 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 Presotto, D.; Den Bergh, M. Van: Noncommutative versions of some classical birational transformations. (2014) Noncommutative algebraic geometry, 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 Michael Artin, Geometry of quantum planes, Azumaya algebras, actions, and modules (Bloomington, IN, 1990) Contemp. Math., vol. 124, Amer. Math. Soc., Providence, RI, 1992, pp. 1 -- 15. Noncommutative algebraic geometry, Graded rings and modules (associative rings and algebras), Linear incidence 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 Nyman, A, The geometry of arithmetic noncommutative projective lines, J. Algebra, 414, 190-240, (2014) Noncommutative algebraic geometry, 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, Derived categories of sheaves, dg categories, and related constructions in algebraic geometry, Determinantal varieties, Rings arising from noncommutative algebraic geometry, Representation theory for linear algebraic 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 X. Chen, S. Yang and G. D. Zhou, Batalin--Vilkovisky algebras and the non-commutative Poincaré duality of Koszul Calabi--Yau algebras, J. Pure Appl. Algebra, 220 (2016), no. 7, 2500--2532. Zbl 06546716 MR 3457981 Noncommutative algebraic geometry, (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.), Rings arising from noncommutative algebraic geometry, Duality in applied homological algebra and category theory (aspects of 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 Noetherian rings and modules (associative rings and algebras), Representations of quivers and partially ordered sets, 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, Rings arising from noncommutative algebraic geometry, Derived categories and associative algebras, Abelian categories, Grothendieck 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 Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Cohen-Macaulay modules in associative algebras, Quadratic and Koszul algebras, Noncommutative algebraic geometry, 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 Vancliff, M.; Van Rompay, K.; Willaert, L., Some quantum \({\mathbf P}^3\)s with finitely many points, Comm. Algebra, 26, 4, 1193-1208, (1998) Graded rings and modules (associative rings and algebras), Noncommutative algebraic geometry, Ordinary and skew polynomial rings and semigroup rings, Deformations of associative rings, Quantum groups (quantized enveloping algebras) and related deformations, Low codimension problems 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 DOI: 10.1006/jabr.1996.0078 Quantum groups (quantized enveloping algebras) and related deformations, Homological dimension in associative algebras, Noncommutative algebraic geometry, Localization and associative Noetherian rings, Graded rings and modules (associative rings and algebras), 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 Generalizations (algebraic spaces, stacks), Noncommutative algebraic geometry, 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 van den Bergh, M., Existence theorems for dualizing complexes over non-commutative graded and filtered rings, \textit{J. Algebra}, 195, 2, 662-679, (1997) Graded rings and modules (associative rings and algebras), Valuations, completions, formal power series and related constructions (associative rings and algebras), Homological functors on modules (Tor, Ext, etc.) in 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 Ajitabh, K.: Residue complex for Sklyanin algebras of dimension three. Adv. math. 144, 137-160 (1999) Rings arising from noncommutative algebraic geometry, Noncommutative algebraic geometry, Syzygies, resolutions, complexes in associative algebras, 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 Van den Bergh, M.: Noncommutative quadrics. Int. Math. Res. Not. IMRN \textbf{17}, 3983-4026 (2011) Noncommutative algebraic geometry, 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 Rigal, L.; Zadunaisky, P., Twisted semigroup algebras, \textit{Alg. Rep. Theory}, 5, 1155-1186, (2015) Twisted and skew group rings, crossed products, Rings arising from noncommutative algebraic geometry, Ring-theoretic aspects of quantum groups, Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.), Deformations of associative 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 Noncommutative algebraic geometry, 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 DOI: 10.1016/j.jpaa.2014.09.027 Noncommutative algebraic geometry, 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 D. Hobst, Antipodes in the theory of noncommutative torsors, PhD thesis Ludwig-Maximilians Universität München, 2004, Logos Verlag, Berlin, 2004 Noncommutative algebraic geometry, 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 Vancliff, M.; Van Rompay, K., Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\), J. algebra, 195, 93-129, (1997) Twisted and skew group rings, crossed products, Noncommutative algebraic geometry, Quantum groups (quantized enveloping algebras) and related deformations, Homological dimension in associative algebras, Elliptic curves, Graded rings and modules (associative rings and algebras), Low codimension problems 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 Eshmatov, F.: DG-models of projective modules and nakajima quiver varieties. (2006) Rings arising from noncommutative algebraic geometry, Differential graded algebras and applications (associative algebraic aspects), Representations of quivers and partially ordered sets, Deformations of associative rings, Formal methods and deformations in algebraic geometry, Noncommutative algebraic geometry, Deformations of singularities, Free, projective, and flat modules and ideals in associative algebras, 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 Smith, S. Paul, Corrigendum to ``Maps between non-commutative spaces''[MR2052602], Trans. Amer. Math. Soc., 368, 11, 8295-8302, (2016) Noncommutative algebraic geometry, 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 Deformations of associative rings, Ordinary and skew polynomial rings and semigroup rings, Simple and semisimple modules, primitive rings and ideals in associative algebras, Graded rings and modules (associative rings and algebras), Ideals in associative algebras, Derivations, actions of Lie algebras, Noncommutative algebraic geometry
0