Projective modules over the endomorphism ring of a biuniform module.
type: Item
instance of: scholarly article
title: Projective modules over the endomorphism ring of a biuniform module.
zbMATH Open document ID: 1055.16001
author: Gena Puninski
published in: Journal of Pure and Applied Algebra
publication date: 2004-03-14T00:00:00Z
review text: This paper investigates infinitely generated projective modules over the endomorphism ring \(S\) of a biuniform module \(M\). The author proves that the following statements are equivalent: (1)~There exists an infinitely generated projective (right) \(S\)-module \(P\) such that \(P/\text{Jac}(P)\) is cyclic. (2) There exist \(f,g\in S\) such that \(f\) is epi not mono, \(g\) is mono not epi, and \(fg=0\). (3)~There exists a cyclic flat (right) \(S\)-module which is not projective.
reviewed by: Toma Albu
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 16W20
zbMATH DE Number: 2056255
zbMATH Keywords: projective modules
zbMATH Keywords: biuniform modules
zbMATH Keywords: endomorphism rings
zbMATH Keywords: uniserial modules
MaRDI profile type: Publication
full work available at URL: j.jpaa.2003.10.012
OpenAlex ID: W1972627252
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DOI: 10.1016/J.JPAA.2003.10.012
description: scientific article; zbMATH DE number 2056255