Properties of AS-Cohen-Macaulay algebras

DOI10.1016/S0022-4049(98)00086-3zbMath0942.16051MaRDI QIDQ1295775

Peter Jørgensen

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

gradegraded algebrasGK-dimensionlocal Cohen-Macaulay ringsbalanced dualizing complexesAS-Cohen-Macaulay algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (7)

Homological properties of balanced Cohen-Macaulay algebras ⋮ Gorenstein subrings of invariants under Hopf algebra actions. ⋮ The AS-Cohen-Macaulay property for quantum flag manifolds of minuscule weight ⋮ Gorenstein homomorphisms of noncommutative rings ⋮ On the quadratic dual of the Fomin–Kirillov algebras ⋮ Gourmet's guide to Gorensteinness ⋮ Noncommutative graded algebras of finite Cohen-Macaulay representation type

Cites Work

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• Dualizing complexes over noncommutative graded algebras
• Homological properties of (graded) Noetherian PI rings
• Noncommutative projective schemes
• Connected graded Gorenstein algebras with enough normal elements
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Local cohomology for non-commutative graded algebras
• Gorenstein Modules and Related Modules.
• Cohen–Macaulay properties for balanced big Cohen–Macaulay modules
• Serre duality for noncommutative projective schemes
• The Converse to a Theorem of Sharp on Gorenstein Modules

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