Modules with every subgenerated module lifting
type: Item
instance of: scholarly article
title: Modules with every subgenerated module lifting
zbMATH Open document ID: 0854.16004
author: Kiyoichi Oshiro
author: Robert Wisbauer
published in: Osaka Journal of Mathematics
publication date: 1997-01-20T00:00:00Z
review text: In a recent paper of \textit{S. T. Rizvi} and the reviewer [On some classes of Artinian rings (to appear)], a module \(M\) is defined to be CS-semisimple if every module in \(\sigma[M]\) is CS. By a result of N. V. Dung and P. F. Smith (1992), a module \(M\) is CS-semisimple if and only if \(M\) is a direct sum of simple modules and uniform \(M\)-injective modules of length 2. In the paper under review, the authors prove that a module \(M\) is CS-semisimple if and only if every module in \(\sigma[M]\) is lifting.
reviewed by: Dinh Van Huynh
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D60
Mathematics Subject Classification ID: 16D70
zbMATH DE Number: 880187
zbMATH Keywords: CS-semisimple modules
zbMATH Keywords: direct sums of simple modules
zbMATH Keywords: uniform \(M\)-injective modules
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 880187