Stable equivalence of selfinjective Artin algebras of Dynkin type.

DOI10.1007/S10468-005-9005-YzbMath1119.16010OpenAlexW2061806436MaRDI QIDQ2502122

Yamagata, Kunio, Andrzej Skowroński

Publication date: 12 September 2006

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-005-9005-y

zbMATH Keywords

Nakayama automorphismsderived equivalencessymmetric algebrasDynkin quiversrepetitive algebrasstable equivalencestrivial extensionsselfinjective Artin algebrasselfinjective orbit algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Quasi-Frobenius rings (16L60) Representations of associative Artinian rings (16G10) Extensions of associative rings by ideals (16S70)

Related Items (6)

Invariance of selfinjective algebras of quasitilted type under stable equivalences. ⋮ Selfinjective algebras without short cycles of indecomposable modules ⋮ Selfinjective algebras with hereditary stable slice ⋮ On selfinjective algebras of finite representation type with maximal almost split sequences. ⋮ Topological invariants of piecewise hereditary algebras ⋮ Socle deformations of selfinjective orbit algebras of tilted type

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