Indecomposables live in all smaller lengths

DOI10.1090/S1088-4165-2013-00429-6zbMath1317.16007arXiv0904.4609OpenAlexW2963307960MaRDI QIDQ2836482

Klaus Bongartz

Publication date: 3 July 2013

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.4609

zbMATH Keywords

finite-dimensional algebrasindecomposable modulesAbelian categoriesquiver representationsassociative algebrasindecomposable objectsaccessible moduleslengths of modulesrepresentation types of algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (10)

On incidence algebras and their representations ⋮ A swiss cheese theorem for linear operators with two invariant subspaces ⋮ \(\tau\)-tilting finiteness of non-distributive algebras and their module varieties ⋮ Indecomposables with smaller cohomological length in the derived category of gentle algebras ⋮ \( \tau \)-tilting finiteness of biserial algebras ⋮ Auslander-Gorenstein algebras from Serre-formal algebras via replication ⋮ The strong no loop conjecture for mild algebras. ⋮ Brauer-Thrall type theorems for derived module categories ⋮ On mild contours in ray categories. ⋮ MINIMAL (-)TILTING INFINITE ALGEBRAS

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