Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner

DOI10.1006/jabr.2001.9056zbMath1009.16013OpenAlexW2021391520MaRDI QIDQ1599276

Elsa A. Fernández, María Inés Platzeck

Publication date: 3 February 2003

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

Full work available at URL: http://hdl.handle.net/11336/78775

zbMATH Keywords

finite dimensional algebrasquiverspath algebrassimple modulesadmissible idealsalmost split sequencesrepetitive algebrastrivial extensions

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

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Cites Work

• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• The derived equivalence classification of representation-finite selfinjective algebras
• The almost split sequence starting with a simple module
• Universal Galois coverings of self-injective algebras by repetitive algebras and Hochschild cohomology
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