The modules in any component of the AR-quiver of a wild hereditary Artin algebra are uniquely determined by their composition factors
type: Item
instance of: scholarly article
title: The modules in any component of the AR-quiver of a wild hereditary Artin algebra are uniquely determined by their composition factors
zbMATH Open document ID: 0651.16013
DOI: 10.1007/BF01277058
published in: Archiv der Mathematik
publication date: 1989-01-01T00:00:00Z
review text: It is proved: the modules in any component of the AR-quiver of a wild hereditary artin algebra are uniquely determined by their composition factors. Therefore for any fixed natural number d, the number of homomorphism classes of indecomposable modules of length d in this component is finite.
Mathematics Subject Classification ID: 16Gxx
Mathematics Subject Classification ID: 16P20
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 4061445
zbMATH Keywords: component
zbMATH Keywords: AR-quiver
zbMATH Keywords: wild hereditary artin algebra
zbMATH Keywords: composition factors
zbMATH Keywords: number of homomorphism classes
zbMATH Keywords: indecomposable modules
author: Ying-Bo Zhang
MaRDI profile type: Publication
cites work: Representation theory of artin algebras iii almost split sequences
cites work: Q5656906
cites work: Q3931573
cites work: Finite dimensional hereditary algebras of wild representation type
full work available at URL: https://doi.org/10.1007/bf01277058
OpenAlex ID: W248761691
description: scientific article; zbMATH DE number 4061445