Direct sums and direct products of finite-dimensional modules over path algebras
type: Item
instance of: scholarly article
title: Direct sums and direct products of finite-dimensional modules over path algebras
zbMATH Open document ID: 0777.16007
DOI: 10.1016/0021-8693(92)90124-5
author: Frank Okoh
published in: Journal of Algebra
publication date: 1993-05-16T00:00:00Z
review text: The class of pure-projective modules and that of pure-injective modules over a path \(K\)-algebra of an extended Coxeter-Dynkin quiver with no oriented cycle are studied (\(K\) is an algebraically closed field). Several conditions are found under which an extension of a pure- projective module by a pure-projective module is pure-projective. Also similar results for pure-injective modules are proved. There are also some results on the structure of quotients of direct products by direct sums of finite-dimensional modules.
Mathematics Subject Classification ID: 16G20
Mathematics Subject Classification ID: 16P10
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 165847
zbMATH Keywords: pure-projective modules
zbMATH Keywords: pure-injective modules
zbMATH Keywords: path \(K\)-algebra
zbMATH Keywords: extended Coxeter-Dynkin quiver
zbMATH Keywords: direct products
zbMATH Keywords: direct sums
zbMATH Keywords: finite- dimensional modules
reviewed by: Stanisław Balcerzyk
MaRDI profile type: Publication
full work available at URL: 0021-8693(92)90124-5
OpenAlex ID: W2091880918
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description: scientific article; zbMATH DE number 165847