Indecomposables over representation-finite algebras are extensions of an indecomposable and a simple

DOI10.1007/BF01163167zbMath0542.16027MaRDI QIDQ795148

Klaus Bongartz

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173472

zbMATH Keywords

coveringssimply connected algebrasexact sequencefinite dimensional algebraindecomposable left A-module

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Centralizing and normalizing extensions (16S20) Representation theory of associative rings and algebras (16Gxx) Homological methods in associative algebras (16Exx)

Related Items (4)

Root categories and simple Lie algebras ⋮ Hall polynomials for the representation-finite hereditary algebras ⋮ A geometric version of the Morita equivalence ⋮ Indecomposables live in all smaller lengths

Cites Work

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• Algebren, Darstellungsköcher, Überlagerungen und zurück
• Covering spaces in representation-theory
• Treue einfach zusammenhaengende Algebren. I
• Induzierte Darstellungen in der Theorie der endlichen, algebraischen Gruppen
• The standard form of a representation-finite algebra
• Algebras and Quadratic Forms
• Tilted Algebras
• Representation theory of artin algebras iii almost split sequences
• Real Subspaces of a Quaternion Vector Space

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