Noncommutative graded algebras of finite Cohen-Macaulay representation type

DOI10.1090/proc/12527zbMath1394.16008OpenAlexW1922108486MaRDI QIDQ5264154

Kenta Ueyama

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/db718175c9ebf78ad90c725719b07bd72631ec0f

zbMATH Keywords

graded isolated singularityfinite Cohen-Macaulay representation typeAS-Cohen-Macaulay algebrasnoncommutative quadric hypersurfaces

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Cohen-Macaulay modules in associative algebras (16G50)

Related Items (6)

Cluster tilting modules and noncommutative projective schemes ⋮ Noncommutative Knörrer's periodicity theorem and noncommutative quadric hypersurfaces ⋮ Derived categories of skew quadric hypersurfaces ⋮ A categorical characterization of quantum projective spaces ⋮ Combinatorial study of stable categories of graded Cohen-Macaulay modules over skew quadric hypersurfaces ⋮ Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions

Cites Work

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• Noncommutative quadric surfaces
• Dualizing complexes over noncommutative graded algebras
• Properties of AS-Cohen-Macaulay algebras
• Homological properties of (graded) Noetherian PI rings
• Noncommutative projective schemes
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Gourmet's guide to Gorensteinness
• The classification of homogeneous Cohen-Macaulay rings of finite representation type
• Two theorems about maximal Cohen-Macaulay modules
• Graded maximal Cohen-Macaulay modules over noncommutative graded Gorenstein isolated singularities.
• Noetherian hereditary abelian categories satisfying Serre duality
• Ample group action on AS-regular algebras and noncommutative graded isolated singularities
• Local cohomology for non-commutative graded algebras
• CO-POINT MODULES OVER KOSZUL ALGEBRAS
• Finite Cohen–Macaulay Type and Smooth Non-Commutative Schemes
• Some quantum P³s with infinitely many points
• Homological properties of balanced Cohen-Macaulay algebras
• Endomorphism Rings of Finite Global Dimension

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