On selfinjective algebras without short cycles in the component quiver

DOI10.4064/CM123-2-6zbMath1246.16013arXiv1212.2988OpenAlexW2333038275MaRDI QIDQ3007972

Maciej Karpicz

Publication date: 17 June 2011

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

Full work available at URL: https://arxiv.org/abs/1212.2988

zbMATH Keywords

Nakayama automorphismsAuslander-Reiten quiversrepetitive algebrasinfinite representation typeirreducible morphismscomponent quiversorbit algebrasshort cyclestilted algebrasself-injective algebrastubular algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10)

Related Items (2)

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

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