Properties of endomorphism rings
type: Item
instance of: scholarly article
title: Properties of endomorphism rings
zbMATH Open document ID: 0927.16025
DOI: 10.1007/BF02697878
author: K. Varadarajan
published in: Acta Mathematica Hungarica
publication date: 1999-09-14T00:00:00Z
review text: The author studies how several properties of a quasi-projective (resp. quasi-injective) module \(M\) pass from \(M\) to \(M/N\) (resp. \(N\)) when \(N\) is a fully invariant submodule or a submodule of \(M\) which is invariant under automorphisms of \(M\). Among them the author considers the Hopfian and co-Hopfian conditions and several properties of the corresponding endomorphism rings, such as being semiperfect, semilocal, or having \(1\) in their stable range.
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16L30
Mathematics Subject Classification ID: 16P60
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D50
zbMATH DE Number: 1336381
zbMATH Keywords: endomorphism rings
zbMATH Keywords: quasi-projective modules
zbMATH Keywords: quasi-injective modules
zbMATH Keywords: Hopfian modules
zbMATH Keywords: semilocal rings
zbMATH Keywords: semiperfect rings
reviewed by: José L. Gómez-Pardo
MaRDI profile type: Publication
cites work: On M-projective and M-injective modules
cites work: On semilocal rings
cites work: Modules with Semi-Local Endomorphism Ring
cites work: The Dual of the Notion of “Finitely Generated”
cites work: Dual goldie dimension
cites work: Dual goldie dimension - II
cites work: Modules with supplements
cites work: Modules over endomorphism rings. II
cites work: Bass's first stable range condition
full work available at URL: https://doi.org/10.1007/bf02697878
OpenAlex ID: W2049108652
description: scientific article; zbMATH DE number 1336381