On the numbers of discrete indecomposable modules over tame algebras

DOI10.4064/cm-73-1-93-114zbMath0889.16006OpenAlexW1478925007MaRDI QIDQ4340476

Grzegorz Zwara, Andrzej Skowroński

Publication date: 21 June 1998

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210481

zbMATH Keywords

polynomial growthAuslander-Reiten quiverscomposition factorstame algebrasTits formsEuler formsstrongly simply connected algebrasgeneralized standard componentsdiscrete indecomposable modulesrepresentation-infinite algebras of polynomial growth

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

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On the composition factors of indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ On indecomposable modules without selfextensions ⋮ Domestic iterated one-point extensions of algebras by two-ray modules. ⋮ Degenerations for indecomposable modules in almost cyclic coherent Auslander-Reiten components. ⋮ Cycle-Finite Module Categories

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