Gorenstein Dimension and AS-Gorenstein Algebras

DOI10.1080/00927872.2013.807111zbMath1328.16004OpenAlexW1982591054MaRDI QIDQ2876284

Kenta Ueyama

Publication date: 18 August 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2013.807111

zbMATH Keywords

Gorenstein dimensionAS-Gorenstein algebrasbalanced dualizing complexesfinitely generated graded modulesNoetherian connected graded algebrasAuslander-Bridger formula

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10)

Cites Work

• Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras.
• Graded algebras of global dimension 3
• Dualizing complexes over noncommutative graded algebras
• Gorenstein homomorphisms of noncommutative rings
• Noncommutative projective schemes
• Connected graded Gorenstein algebras with enough normal elements
• Existence theorems for dualizing complexes over non-commutative graded and filtered rings
• Gorenstein homological dimensions.
• Gourmet's guide to Gorensteinness
• Gorenstein dimensions
• Gorenstein injective and projective modules
• Relative homological algebra
• Local cohomology for non-commutative graded algebras
• Some projective surfaces of GK-dimension 4
• Growth of graded noetherian rings
• Homological properties of balanced Cohen-Macaulay algebras
• G-Dimension.
• Dualizing complexes over noncommutative local rings

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