A characterization of algebras for which every indecomposable module has a core

DOI10.1016/0021-8693(86)90060-8zbMath0595.16026OpenAlexW1984197341MaRDI QIDQ1077515

Hagen Meltzer, Andrzej Skowroński

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)90060-8

zbMATH Keywords

hereditary algebrascorefinite dimensional algebraindecomposable module of finite lengthuniserial submodulescovering technicsradical squared zero Artin algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) Representation theory of associative rings and algebras (16Gxx)

Cites Work

• On the indecomposable representations of algebras
• On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Leowy constituent
• Representation theory I. Proceedings of the Workshop on the Present Trends in Representation Theory, Ottawa, Carleton University, August 13- 18, 1979. Ed. by V. Dlab and P. Gabriel
• Eine Klasse von Quasi-Frobenius-Algebren und ihre unzerlegbaren Moduln
• Covering spaces in representation-theory
• Automorphisms of representation finite algebras
• Modules with waists
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Representation theory of artin algebras VI: A functorial approach to aimost split sequences
• Auslander-Reiten Quivers for Certain Algebras of Finite Representation Type
• Representation theory of artin algebras iii almost split sequences
• Modules with cores and amalgamations of indecomposable modules
• Representation theory of artin algebras IV¹⁾Invariants given by almost split sequences
• Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
• On Algebras Whose Indecomposable Modules are Multiplicity-Free
• Representation of partially ordered sets
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