A criterion for Gorenstein algebras to be regular

DOI10.1090/S0002-9939-2010-10586-5zbMath1251.16013OpenAlexW2083837580MaRDI QIDQ3003567

Xuefeng Mao, Quan Shui Wu

Publication date: 27 May 2011

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10586-5

zbMATH Keywords

Artin-Schelter regular algebrasGorenstein algebrasAS-Gorenstein algebrasAS-regular algebrasconnected graded algebrasGorenstein indices

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Graded rings and modules (associative rings and algebras) (16W50) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

PBW deformations of Koszul algebras over a nonsemisimple ring.

Cites Work

• Unnamed Item
• Higher Koszul complexes.
• Non-commutative Castelnuovo-Mumford regularity and AS-regular algebras.
• Koszul equivalences in \(A_\infty\)-algebras.
• Graded algebras of global dimension 3
• Cohen-Macaulay and Gorenstein finitely graded rings
• Higher Koszul algebras and \(A\)-infinity algebras.
• Growth of graded noetherian rings
• Gorenstein Graded Algebras and the Evaluation Map
• Koszul Duality Patterns in Representation Theory
• Homological integral of Hopf algebras
• Koszulity for nonquadratic algebras.

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