Stable equivalence of representation-finite trivial extension algebras

DOI10.1016/0021-8693(86)90126-2zbMath0598.16029OpenAlexW1981135211MaRDI QIDQ1079640

Yasuo Iwanaga, Ibrahim Assem

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90126-2

zbMATH Keywords

Dynkin diagramsAuslander-Reiten sequencestilted algebrasfinite-dimensional algebratrivial extensionsstable equivalenceCartan classrepresentation-finite

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Module categories in associative algebras (16D90) Quasi-Frobenius rings (16L60) Centralizing and normalizing extensions (16S20) Representation theory of associative rings and algebras (16Gxx)

Related Items

Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)

Cites Work

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• Reflection functors and Auslander-Reiten translations for trivial extensions of hereditary algebras
• Representation-finite trivial extension algebras
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• Selfinjective and simply connected algebras
• Trivial Extensions of Tilted Algebras
• Trivial extensions of tilted algebras
• Tilted Algebras
• COXETER FUNCTORS AND GABRIEL'S THEOREM