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Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) sections of flasque sheaves of regular commutative algebras on finite posets; Cohen-Macaulay [Y1] Yuzvinsky, S.: Cohen-Macaulay rings of sections. Adv. Math.63, 172--195 (1987) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) semigroup algebra; affine semigroup; divisorial ideal; Cohen-Macaulay; polytopal algebra Bruns, Winfried; Gubeladze, Joseph: Semigroup algebras and discrete geometry, Sémin. congr. 6, 43-127 (2002) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) locally Cohen-Macaulay space curves; Rao module; Koszul module; Hilbert scheme Martin-Deschamps, M.; Perrin, D., Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit, Ann. Sci. École Norm. Sup. (4), 29, 757-785, (1996) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) local cohomology; maximal Cohen-Macaulay module; Noetherian ring; regular sequence. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free resolution; Weierstrass of non-Gorenstein curves | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free resolution; Hartshorne-Rao module | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) space curves; double structure; locally Cohen-Macaulay subscheme; conormal bundle; arithmetic genus; numerical character DOI: 10.1112/S0024610798006395 | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) vector bundles; exterior powers; hypersurfaces; arithmetically Cohen-Macaulay | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) chip-firing; simplicial complexes | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) minimal free monad of a rank two vector bundle Rao, AP, Splitting monads of vector bundles, Crelle J., 390, 170-192, (1988) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) superalgebras; regular sequence; odd depth; growth of a minimal free resolution; Auslander-Buchsbaum formula Schmitt T., Regular sequences in \({\mathbb{Z}_{2}}\)-graded commutative algebra, J. Algebra 124 (1989), no. 1, 60-118. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) plane curve; space curve; Cohen-Macaulay ring; arithmetically Cohen- Macaulay curves; perfect ideal of a polynomial ring; ideal of forms vanishing at a finite set of points; Hilbert function of a complete intersection Davis, E. D.; Geramita, A. V.; Maroscia, P., Perfect homogeneous ideals: dubreil's theorems revisited, Bull. Sc. Math., 2e Série, 108, 143-185, (1984) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) determinantal ideal; third Betti number; minimal free resolution Hashimoto, M, Determinantal ideals without minimal free resolutions, Nagoya Math. J., 118, 203-216, (1990) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) schemes; sheaves of differentials; dualizing sheaves; residues; duality theorems; base change theorems; Cohen-Macaulay maps; trace maps; algebraic curves; morphisms B. CONRAD, Grothendieck duality and base change. Lecture Notes in Math. 1750, Springer-Verlag (2000). Zbl0992.14001 MR1804902 | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) tensor product of \(k\)-algebras; regular ring; complete intersection ring; Gorenstein ring; Cohen-Macaulay ring; Noetherian ring; separable extension Tabaâ, M., Sur le produit tensoriel d'algèbres, Math. Scand., 119, 5-13, (2016) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) rational singularities; resolution; deformation; Cohen-Macaulay singularity Andreatta, M.; Silva, A., On weakly rational singularities in complex analytic geometry, Ann. Mat. Pura Appl., 136, 65-76, (1984) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) arithmetically Cohen-Macaulay curve; reducible curve; two-component curve | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) toric varieties; syzygies; simplicial complexes; regularity E. BRIALES, P. PISÓN, A. VIGNERON, The Regularity of a Toric Variety. Journal of Algebra, 237, (2001), 165-185. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) linkage; liaison; Gorenstein scheme; maximal Cohen-Macaulay module Casanellas M. and Hartshorne R., Gorenstein biliaison and ACM sheaves, J. Algebra 278 (2004), 314-341. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Hartshorne-Rao module; Hilbert scheme; double plane; locally Cohen-Macaulay curve N. Chiarli, S. Greco, and U. Nagel, Families of space curves with large cohomology,J. Algebra 307 (2007), 704--726. | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) homological conjectures; big Cohen-Macaulay algebra; perfectoid algebra; purity | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) vector bundle; ACM vector bundle; arithmetically Cohen-Macaulay vector bundle; Hirzebruch surface | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) edge ideals; shellable complex; sequentially Cohen-Macaulay ring | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) Cohen-Macaulay ring; set-theoretic intersection Lyubeznik, G., On set-theoretic intersections, J. Algebra, 87, 105-112, (1984) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) cycle-freechessboard complex; cyclic homology; connectivity Vrećica, S.; Živaljević, R.: Cycle-free chessboard complexes and symmetric homology of algebras, European J. Combin. 30, 542-554 (2009) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) matching complex; simplicial homology; torsion subgroup Jonsson J.: Five-torsion in the homology of the matching complex on 14 vertices. J. Algebraic Combin. 29(1), 81--90 (2009) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) equivariant homology of graph and hypergraph complexes; chessboard complex; matching complex Karaguezian, DB; Reiner, V; Wachs, ML, Matching complexes, bounded degree graph complexes, and weight spaces of \(GL_n\)-complexes, J. Algebra, 239, 77-92, (2001) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) matching complex; chessboard complex; simplicial homology; long exact sequence Jonsson, J.: On the 3-torsion part of the homology of the chessboard complex, Ann. comb. 14, No. 4, 487-505 (2010) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) matching complex; simplicial homology; long exact sequence Jonsson J.: Exact sequences for the homology of the matching complex. J. Combin. Theory Ser. A 115(8), 1504--1526 (2008) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) chessboard complexes; colored Tverberg problem; colored Radon's theorem; topological combinatorics; degrees of equivariant maps Vrećica, Chessboard complexes indomitable, J. Combin. Theory, Ser. A 118 pp 2157-- (2011) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) matching complex; simplicial homology; torsion subgroup Jonsson, J.: More torsion in the homology of the matching complex. Experiment. Math. (to appear) | 0 |
Cohen-Macaulay modules; graded minimal free resolutions; simplicial complexes; chessboard complexes; matching complexes Reiner V., Roberts J.: Minimal resolutions and the homology of matching and chessboard complexes. J. Algebraic Combin. 11(2), 135--154 (2000) X. Dong, ''Topology of bounded degree graph complexes,'' J. Algebra 262 (2003), 287--312. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projectively simple rings; twisted homogeneous coordinate rings; noncommutative projective algebraic geometry; graded algebras; Artin-Schelter regular algebras; ample line bundles; Abelian varieties; Gelfand-Kirillov dimension Z. Reichstein, D. Rogalski, and J. J. Zhang, \textit{Projectively simple rings}, Adv. Math., 203:2 (2006), 365--407. MR2227726 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded rings; Artin-Schelter regular algebras of global dimension three; noncommutative projective geometry; elliptic algebras; point modules; Noetherian domains; Hilbert series; elliptic curves -, Algebras associated to elliptic curves , Trans. Amer. Math. Soc. 349 (1997), 2317--2340. JSTOR: | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noncommutative blowing up; Noetherian graded rings; sporadic ideals; divisor layering; graded quotient ring; twisted homogeneous coordinate ring; elliptic algebra; exceptional line modules; Godie torsion module D. Rogalski, S. J. Sierra and J. T. Stafford, Noncommutative blowups of elliptic algebras, Algebr. Represent. Theory, (2014), 1--39.Zbl 06445654 MR 3336351 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) non commutative algebraic geometry; surface; blow up; graded algebras of Gelfand-Kirillov dimension three; Abelian categories; Rees algebra; pseudo-compact rings; completion functors; derived categories; Del Pezzo surfaces; quantum version of projective three space M. Van~den Bergh, \emph{Blowing up of non-commutative smooth surfaces}, Mem. Amer. Math. Soc. \textbf{154} (2001), no.~734, x+140. \MR{1846352 (2002k:16057)} | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noetherian graded rings; noncommutative projective geometry; twisted homogeneous coordinate rings; abstract Hilbert schemes Keeler, D. S.: The rings of noncommutative projective geometry. Advances in algebra and geometry, 195-207 (2003) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Sklyanin algebras; Grothendieck categories; noncommutative curves; noncommutative projective geometry; graded rings; full subcategories; categories of graded modules; Krull dimension; non-commutative schemes; quasi-schemes; quasi-coherent sheaves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings J.~T. Stafford and M. van~den Bergh, \emph{Noncommutative curves and noncommutative surfaces}, Bull. Amer. Math. Soc. (N.S.) \textbf{38} (2001), no.~2, 171--216. \MR{1816070} | 1 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Noetherian graded rings; noncommutative projective geometry; deformations; twisted homogeneous coordinate rings | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) flat localizations of Abelian categories; structure presheaves of modules; quantized algebras; noncommutative schemes in categories; left spectrum; maximal left ideals; completely prime left ideals; categories of rings; Levitzki radical; quasi-affine schemes; projective spectra; quantized rings; quantum planes; algebra of \(q\)-differential operators; Weyl algebras; quantum envelopes; coordinate rings; generalized Weyl algebras; skew polynomial rings; Serre subcategories; Grothendieck categories; hyperbolic rings; skew PBW monads; monoidal category; Kac-Moody and Virasoro Lie algebras; semigroup-graded monads; Gabriel-Krull dimension Rosenberg, A.L.: Algebraic Geometry Representations of Quantized Algebras. Kluwer Academic Publishers, Dordrecht, Boston London (1995) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded algebras; global dimension; homogeneous coordinate rings of projective surfaces; Artin-Schelter regular algebras; skew polynomial rings; elliptic algebras D. R. Stephenson, ''Artin-Shelter regular algebras of global dimension three,'' J. Algebra, 183, No. 1, 55--73 (1996). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) vanishing theorems; invertible sheaves; Noetherian graded rings; invertible bimodules; projective schemes; coordinate rings; tensor products; ampleness; Rees rings; Gelfand-Kirillov dimension Dennis S. Keeler, Noncommutative ampleness for multiple divisors, J. Algebra 265 (2003), no. 1, 299 -- 311. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Noetherian graded rings; noncommutative projective geometry; strongly Noetherian rings; graded algebras; coordinate rings Rogalski, D, Generic noncommutative surfaces, Adv. Math., 184, 289-341, (2004) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quantum projective planes; homogeneous coordinate rings; graded algebras; Hilbert series; regular algebras; schemes; sheaves of algebras Mori, I, The center of some quantum projective planes, J. Algebra, 204, 15-31, (1998) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) survey; finite dimensional algebras; exceptional curves; noncommutative curves; exceptional sequences of coherent sheaves; weighted projective lines; module categories for canonical algebras; homogeneous curves; finite dimensional tame bimodule algebras; vector bundles with parabolic structures; coordinate algebras; surface singularities; tame hereditary algebras H. Lenzing, Representations of finite dimensional algebras and singularity theory, \textit{Trends in ring theory} (Miskolc, Hungary, 1996), \textit{Canadian Math. Soc. Conf. Proc.,}\textbf{22} (1998), Am. Math. Soc., Providence, RI (1998), 71-97. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; Noetherian graded rings; noncommutative blowing up and blowing down; Castelnuovo's contraction theorem | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) GK-dimension; graded rings; noncommutative projective geometry; noncommutative surfaces; birational geometry; twisted section ring; stable birational map D. Rogalski, GK-dimension of birationally commutative surfaces, Transactions of the American Mathematical Society 361 (2009), 5921--5945. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quadratic regular algebras; global dimension; Hilbert series; twisted homogeneous coordinate rings; nonsingular quadrics Vancliff, M.; Van Rompay, K., Embedding a quantum nonsingular quadric in a quantum \(\mathbb{P}^3\), J. algebra, 195, 93-129, (1997) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded ring; graded algebras; regular rings; noncommutative analogues of polynomial algebras; noetherian; global dimension | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; noncommutative surfaces; Sklyanin algebras; noetherian graded rings; noncommutative blowing-up D. Rogalski, S. J. Sierra and J. T. Stafford, Classifying orders in the Sklyanin algebra, 2013.arXiv:1308.2213 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) normal extension; Artin-Schelter regular algebra; Calabi-Yau algebra; superpotential algebra; non-commutative algebraic geometry; tensor-algebras; Gelfand-Kirillov dimension; global dimension; Cohen-Macaulay; Gorenstein; graded algebras; twisted Calabi-Yau algebras; Frobenius algebras; normal extension; twisted superpotential; superpotential; connected graded algebra; Nakayama automorphism; homological determinant | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Noetherian graded rings; noncommutative projective geometry; idealizer rings; strongly left Noetherian algebras Rogalski, D.: Idealizer rings and noncommutative projective geometry. J. algebra 279, 791-809 (2004) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Cox rings; algebraic varieties; homogeneous spaces; graded algebras and rings; line bundles; toric varieties; geometric invariant theory; actions of groups; algebraic surfaces; Mori Dream Spaces; Zariski decompositions; Manin's conjecture; Hasse principle; Brauer-Manin obstructions; del Pezzo surfaces; \(K3\) surfaces; Enriques surfaces; GKZ decompositions; GALE transformations; flag varieties; combinatorial methods in algebraic geometry Arzhantsev, Ivan; Derenthal, Ulrich; Hausen, Jürgen; Laface, Antonio, Cox rings, Cambridge Studies in Advanced Mathematics 144, viii+530 pp., (2015), Cambridge University Press, Cambridge | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Artin-Schelter regular algebras; graded algebras; global dimension; noncommutative projective geometry DOI: 10.1090/conm/562/11139 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) dualizing complexes; equivariant sheaves; de Rham complexes; categories of differential graded algebras; non-commutative multi-parameter quantum deformations; integration; differential forms; homogeneous coordinate rings Borowiec A., Adv. Math. 115 pp 250-- (1995) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) cohomology; dualities; schematic algebras; graded algebras; Serre's theorem; categories of quasicoherent sheaves; categories of graded modules; noncommutative projective schemes; graded rings; cohomological behaviour; Auslander-Gorenstein algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; noncommutative projective surface; noetherian graded ring; maximal order; ADC data; geometric algebras doi:10.1016/j.jalgebra.2010.05.005 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) multi-homogeneous coordinate ring; invertible bimodule; Rees algebra; projective scheme; ascending chain condition; non-commutative algebraic geometry; quasi-coherent sheaves; graded modules modulo torsion submodules; homogeneous coordinate rings Chan, D.: Twisted multi-homogeneous coordinate rings. J. algebra 223, 438-456 (2000) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) minimal injective resolution; twisted homogeneous coordinate ring of the projective line; Serre duality; regular algebras Ajitabh, K.: Residue complex for regular algebras of dimension 2. J. algebra 179, 241-260 (1996) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) projective plane; noncommutative graded algebras; regular Koszul algebras of dimension 3 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. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) differential operators; commutative affine \({\mathbb{C}}\)-algebra; coordinate ring; nonsingular affine variety; simple noetherian domain; Gelfand- Kirillov dimension; ring of invariants; group of automorphisms; simple noetherian ring; variety of symmetric n\(\times n\) matrices; simple factor ring; enveloping algebras; semisimple Lie algebras Levasseur, T.; Stafford, J. T., Rings of differential operators on classical rings of invariants, Mem. Amer. Math. Soc., 412, pp., (1989) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) deformations of algebras; primitive ideals; twisted homogeneous coordinate rings; symplectic leaves; Poisson manifolds; complex polynomial rings; Poisson structures; primitive spectra | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Tate curves; UHF-algebras; \(C^*\)-algebras; twisted homogeneous coordinate ring; non-commutative algebraic geometry | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) relations; Noetherian rings; Krull dimension; infinite dimensional primitive factor; enveloping algebra; associated graded ring; coordinate ring of type-\(A\) Kleinian singularities; Auslander-Gorenstein ring; global dimension; Grothendieck group Hodges, T.J., Noncommutative deformations of type-\textit{A} Kleinian singularities, J. algebra, 161, 271-290, (1993) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective surface; noncommutative birational geometry; birationall commutative algebra; twisted homogeneous coordinate ring Sierra, SJ, Classifying birationally commutative projective surfaces, Proc. LMS, 103, 139-196, (2011) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Sklyanin algebra; graded \(k\)-algebra; generators; relations; Noetherian domain; Hilbert series; regular graded algebra; global homological dimension; Gelfand-Kirillov dimension; elliptic curves; theta functions S. P. Smith and J. T. Stafford, Regularity of the four dimensional Sklyanin algebra, Compositio Math., 83 (1992), 259--289. Zbl 0758.16001 MR 1175941 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noetherian graded rings; twisted homogeneous coordinate rings J. T. Stafford, ''Noncommutative projective geometry,'' in: Proceedings of the International Congress of Mathematicians, Vol. II, Beijing (2002), Higher Ed. Press, Beijing (2002), pp. 93--103. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded quadratic algebras; nonsingular quadrics; coordinate rings of quantum \(2\times 2\) matrices; quantum determinants; point modules; line modules M. Vancliff, Quadratic algebras associated with the union of a quadric and a line in \(\mathbb P^3\) , J. Algebra 165 (1994), 63--90. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) quadratic Artin-Schelter regular algebras; global dimensions; twisted homogeneous coordinate rings; quadric hypersurfaces Shelton, B.; Vancliff, M., Embedding a quantum rank three quadric in a quantum \(\mathbb{P}^3\), Comm. Algebra, 27, 6, 2877-2904, (1999) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective geometry; noncommutative surfaces; Noetherian graded rings; Sklyanin algebra; noncommutative blowup Rogalski, D, Blowup subalgebras of the Sklyanin algebra, Adv. Math., 226, 1433-1473, (2011) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) non-commutative algebraic geometry; homogeneous coordinate rings; projective varieties; Noetherian subrings; closed subschemes; idealizers doi:10.1090/S0002-9947-2010-05110-4 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) partial module structures; positive filtrations; absolutely irreducible fragments; central simple algebras; sections; microstructure sheaves; Zariski filtered rings; projective schemes; graded rings; Rees rings; quantum noncommutative geometry; filtered modules DOI: 10.1080/00927879608825560 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) non-commutative projective planes; point modules; line modules; Cohen-Macaulay modules; modules over elliptic algebras; Gelfand-Kirillov dimension; one-dimensional schemes; elliptic curves; quantum planes Ajitabh, K, Modules over elliptic algebras and quantum planes, Proc. London Math. Soc., 72, 567-587, (1996) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) vanishing theorems; noetherian graded rings; noncommutative projective geometry Dennis S. Keeler, ``Ample filters of invertible sheaves'', J. Algebra259 (2003) no. 1, p. 243-283 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) categories of quasicoherent sheaves; categories of graded modules; noncommutative projective algebraic geometry; Koszul algebras; weighted projective spaces; Yoneda algebras; Auslander regular algebras; categories of torsionfree sheaves; Serre duality; almost split sequences Marti\´, R.; Villa, Nez: Serre duality for generalized Auslander regular algebras. Contemp. math. 229, 237-263 (1998) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative projective schemes; noncommutative graded algebras; projective spectrum; quasi-coherent sheaves; quotient category; cohomology of coherent sheaves; cohomological dimension M. Artin and J. J. Zhang, ''Noncommutative Projective Schemes,'' Adv. Math. 109 (2), 228--287 (1994). | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) noncommutative complex geometry; quantum projective space; quantum homogeneous coordinate ring; twisted cyclic cocycle; positive Hochschild cocycle; Serre duality Khalkhali M., Moatadelro A.: Noncommutative complex geometry of the quantum projective space. J. Geom. Phys. 61(12), 2436--2452 (2011) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Determinants; algebra; geometry; discussion of an equation of second degree; homogeneous coordinates; analytic criteria; plane sections of \(2^{\text{nd}}\) order surfaces; invariants of quadratic forms; plane curves of third order | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) tautological rings; moduli spaces of curves; Chow motives; twisted commutative algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) vector bundles on projective spaces; graded modules; exterior algebras; Bernstein-Gelfand-Gelfand correspondence; Horrocks-Mumford bundles; Tango bundles; indecomposability; derived categories of coherent sheaves; finite-dimensional algebras | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) singular projective curves; normalization maps; rings of differential operators; invertible sheaf; maximal finite dimensional factor algebras; category of quasi-coherent sheaves | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) global dimension; rings of global sections; sheaves of twisted differential operators; spectral sequence; flag varieties; enveloping algebras of semisimple Lie algebras; Weyl group DOI: 10.1112/blms/24.2.148 | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) differential graded category; dg category; derived category; algebraic stack; root stack; birational sequence of stacks; semi-ortogonal construction of stacks; admissible substack; geometric stack; saturated stack; projective stack; tame stack; proper stack; separated stack; noncommutative algebraic geometry Bergh, D.; Lunts, V. A.; Schnürer, O. M., \textit{geometricity for derived categories of algebraic stacks}, Selecta Math. (N.S.), 22, 2535-2568, (2016) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Sklyanin algebras; graded noncommutative algebras; regularity; Yang- Baxter equation; elliptic curve; line bundle; survey; irreducible finite dimensional \(A\)-modules; category of finitely generated graded modules; point modules; cyclic modules; Hilbert series; projective variety; irreducible modules Smith, S. P., The four-dimensional Sklyanin algebras, \(K\)-Theory. Proceedings of Conference on Algebraic Geometry and Ring Theory in honor of Michael Artin, Part I (Antwerp, 1992), 8, 1, 65-80, (1994) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T.; Vancliff, M., Corrigendum to ``generalizations of graded Clifford algebras and of complete intersections'', Journal of the London Mathematical Society, 90, 631-636, (2014) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) twisted cotriangular Hopf algebras; Gelfand-Kirillov dimension; connected nilpotent algebraic group | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) lattice points; semigroup algebras; homogeneous elements; graded automorphisms; normal forms of elements; automorphism groups; projective toric varieties Bruns W., Gubeladze J.: Polytopal linear groups. J. Algebra 218, 715--737 (1999) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) generalized Weyl algebras; graded rings; noncommutative projective schemes; translation principle; Morita equivalence | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) graded skew Clifford algebras; graded Clifford algebras; Artin-Schelter regular algebras; noncommutative algebraic geometry; complete intersections; quadratic algebras Cassidy, T., Vancliff, M.: Generalizations of Graded Clifford algebras and of complete intersections. J. Lond. Math. Soc. \textbf{81}, 91-112 (2010). (Corrigendum: \textbf{90}(2), 631-636 (2014)) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(K\)-groups; rings of differential operators; vector bundles over homogeneous spaces; line bundles; endomorphism rings; finitely generated projective modules; Bass Cancellation Theorem; twisted differential operators S. C. Coutinho and M. P. Holland, \(K\)-theory of twisted differential operators , J. London Math. Soc. (2) 47 (1993), no. 2, 240-254. | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) Gelfand-Kirillov dimension; flag varieties; Hopf algebras; semisimple algebraic groups; quantum algebras; induced modules; graded algebras; induced representations | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) \(G\)-scheme; 2-cocycle; semidirect product algebra; twisted group algebra; equivariant algebraic \(K\)-theory; twisted projective homogeneous scheme; full exceptional collection; equivariant motivic measure; noncommutative algebraic geometry; \(G\)-equivariant Chow motive; \(G\)-equivariant perfect complex; noncommutative Chow motives | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) homogeneous coordinate rings of projective varieties; A-infinity algebra Polishchuk, A, Extensions of homogeneous co-ordinate rings to \(A_\infty \)-algebras, Homol. Homotopy Appl., 5, 407-421, (2003) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) categories of modules; Weyl algebras; characteristic varieties; generic hypersurfaces; Gelfand-Kirillov codimension; irreducible modules; projective ideals Coutinho, S. C.: Modules of codimension one over Weyl algebras. J. algebra 177, 102-114 (1995) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) regular algebras; Noetherian Artin-Schelter regular connected graded algebras; global dimension; AS regular algebras; quantum projective space 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). | 1 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) differential graded categories; triangulated categories; derived noncommutative schemes; finite-dimensional algebras; geometric realizations; noncommutative algebraic geometry; quasi-coherent sheaves; homological algebra; perfect complexes; unbounded derived category; enough injectives; classical generator; homotopy category; enhanced category; noncommutative scheme; noncommutative derived scheme; compactification; resolution of singularities; Serre functor; geometric realization; pure geometric realization; phantoms; quasi-phantoms; Krull-Schmidt partners | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) D-modules; smooth affine variety; ring of differential operators; coordinate ring; smooth projective variety; Weyl algebras; localizations; sheaf theory; locally free sheaves; twisted differential operators Coutinho, S. C.; Holland, M. P.: Differential operators on smooth varieties, Lecture notes in math. 1404, 201-219 (1989) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) coordinate ring of quantum matrices; coordinate ring of quantum \(n \times n\) matrices; automorphisms; defining relations; variety; point modules; graded flat deformations; polynomial rings; homogeneous Poisson brackets; Poisson structures; symplectic leaves Vancliff, M.: The defining relations of quantum n\(\times n\) matrices. J. lond. Math. soc. (2) 52, No. 2, 255-262 (1995) | 0 |
semiprime graded algebras; Noetherian rings; Gelfand-Kirillov dimension; twisted homogeneous coordinate rings; Veronese rings; noncommutative projective geometry; noncommutative projective curves; algebras of quadratic growth Artin, M.; Stafford, J. T., Semiprime graded algebras of dimension two, J. Algebra, 227, 1, 68-123, (2000) generalized fractions; dualizing complexes; residual complex; graded resolutions of homogeneous coordinate rings Hübl, R.: Graded duality and generalized fractions. J. pure appl. Algebra 141, 225-247 (1999) | 0 |
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