Artin algebras with only preprojective or preinjective modules are of finite type
type: Item
instance of: scholarly article
title: Artin algebras with only preprojective or preinjective modules are of finite type
zbMATH Open document ID: 0813.16007
DOI: 10.1007/BF01193543
author: Andrzej Skowroński
author: Sverre O. Smalø
published in: Archiv der Mathematik
publication date: 1995-03-19T00:00:00Z
review text: We give an affirmative answer to the following question raised by C. M. Ringel more than 14 years ago [in \textit{M. Auslander} and \textit{S. O. Smalø}, Lect. Notes Math. 832, 48-73 (1980; Zbl 0446.16026)]. If \(\Lambda\) is an Artin algebra of infinite representation type, do there exist indecomposable modules which are neither preprojective nor preinjective?
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16G60
Mathematics Subject Classification ID: 16D90
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 734516
zbMATH Keywords: Artin algebra
zbMATH Keywords: infinite representation type
zbMATH Keywords: indecomposable modules
zbMATH Keywords: preprojective
zbMATH Keywords: preinjective
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01193543
OpenAlex ID: W2047756553
description: scientific article; zbMATH DE number 734516