Translation algebras and their applications.

DOI10.1016/S0021-8693(02)00114-XzbMath1066.16012MaRDI QIDQ1858176

Jin-Yun Guo

Publication date: 12 February 2003

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

zbMATH Keywords

indecomposable modulesfinite representation typeadditive functionsKoszul algebrastranslation quivershammocksYoneda algebrasself-injective algebrasAuslander algebrastranslation algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Homological dimension in associative algebras (16E10) Quadratic and Koszul algebras (16S37)

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On \(n\)-cubic pyramid algebras ⋮ \(n\)-APR tilting and \(\tau\)-mutations ⋮ AUSLANDER ALGEBRAS ARE 2-GORENSTEIN ⋮ On the Koszul modules of exterior algebras. ⋮ Radical cube zero selfinjective algebras of finite complexity. ⋮ Radical cube zero weakly symmetric algebras and support varieties. ⋮ Coverings and truncations of graded self-injective algebras. ⋮ Loewy matrix, koszul cone and applications ⋮ On \(n\)-translation algebras

Cites Work

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• \(k\)-Gorenstein algebras and syzygy modules
• AUSLANDER ALGEBRAS ARE 2-GORENSTEIN
• Hammocks
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• Koszul Resolutions