Algebras stably equivalent to selfinjective algebras whose Auslander-Reiten quivers consist only of generalized standard components

DOI10.1017/S0017089500032316zbMath0915.16013MaRDI QIDQ4212562

Zygmunt Pogorzały

Publication date: 5 July 1999

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

simple modulesAuslander-Reiten quiversselfinjective algebrasstable categoriesgeneralized standard componentsselfinjective representation-infinite algebrasstably equivalencestandard selfinjective algebras of polynomial growth

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)

Related Items (2)

Invariance of selfinjective algebras of quasitilted type under stable equivalences. ⋮ Forms of algebras stably equivalent to self-injective algebras of polynomial growth

Cites Work

• On the derived category of a finite-dimensional algebra
• Group algebras of polynomial growth
• Coherent tubes
• On Galois coverings of tame algebras
• Galois coverings of representation-infinite algebras
• Selfinjective algebras of polynomial growth
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Selfinjective and simply connected algebras
• Covering spaces in representation-theory
• Algebras with cycle-finite derived categories
• Generalized standard Auslander-Reiten components
• Cycle-finite algebras
• Symmetric algebras stably equivalent to the trivial extensions of tubular algebras
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• Trivial Extensions of Tilted Algebras
• Tilted Algebras
• Representation theory of artin algebras iii almost split sequences
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Galois coverings of selfinjective algebras by repetitive algebras
• On Some Classes of Simply Connected Algebras
• Invariability of Trivial Extensions of Tilted Algebras Under Stable Equivalences

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