On selfinjective artin algebras having nonperiodic generalized standard Auslander–Reiten components

DOI10.4064/cm96-2-8zbMath1060.16013OpenAlexW2008366730MaRDI QIDQ4425051

Yamagata, Kunio, Andrzej Skowroński

Publication date: 9 September 2003

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm96-2-8

zbMATH Keywords

Auslander-Reiten quiversselfinjective Artin algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (11)

Invariance of selfinjective algebras of quasitilted type under stable equivalences. ⋮ Self-injective Artin algebras without short cycles in the component quiver. ⋮ Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules ⋮ Selfinjective algebras with hereditary stable slice ⋮ Tilted algebras and short chains of modules. ⋮ On selfinjective Artin algebras having generalized standard quasitubes. ⋮ On selfinjective algebras of finite representation type with maximal almost split sequences. ⋮ Cartan matrices of symmetric algebras having generalized standard stable tubes. ⋮ Positive Galois coverings of self-injective algebras. ⋮ Stable equivalence of selfinjective Artin algebras of Dynkin type. ⋮ Socle deformations of selfinjective orbit algebras of tilted type

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