On Auslander's \(n\)-Gorenstein rings

DOI10.1016/0022-4049(95)00003-8zbMath0855.16011OpenAlexW1979430560MaRDI QIDQ1910749

Yasuo Iwanaga, Hideo Sato

Publication date: 11 December 1996

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00003-8

zbMATH Keywords

injective resolutionsself-injective dimensionmaximal quotient ringsessential socle\(n\)-Gorenstein rings1-Gorenstein property

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological dimension in associative algebras (16E10)

Related Items

Simple modules over Auslander regular rings, The existence of maximal \(n\)-orthogonal subcategories., Cluster tilting for tilted algebras., Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras, Homological aspects of Noetherian PI Hopf algebras and irreducible modules of maximal dimension, Homological behavior of Auslander's \(k\)-Gorenstein rings., The Auslander-type condition of triangular matrix rings., The socle of the last term in a minimal injective resolution., On Auslander-type conditions of modules, On the Grade of Modules Over Noetherian Rings, Tilting modules over Auslander-Gorenstein algebras, Auslander-type conditions and cotorsion pairs., Minimal injective resolution of an order over a local dedekind domain, Auslander-gorenstein rings, Higher Auslander algebras admitting trivial maximal orthogonal subcategories., Syzygy modules for quasi \(k\)-Gorenstein rings., Distributive lattices and Auslander regular algebras, Cograde conditions and cotorsion pairs, TRIVIAL MAXIMAL 1-ORTHOGONAL SUBCATEGORIES FOR AUSLANDER 1-GORENSTEIN ALGEBRAS

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