A generalization of composition series
type: Item
instance of: scholarly article
title: A generalization of composition series
zbMATH Open document ID: 0659.16019
DOI: 10.1016/0021-8693(88)90029-4
author: Tatsuo Izawa
published in: Journal of Algebra
publication date: 1988-01-01T00:00:00Z
review text: New types of generalized composition series of a module are introduced and studied. The concepts of P-cocomposition series and composition P- cochain of M, respectively, for R-modules P and M are defined. The results are applied to quasi-projective modules, \(\Sigma^*(\Delta^*)\)-projective modules, etc.
Mathematics Subject Classification ID: 16S90
Mathematics Subject Classification ID: 16D40
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 4077479
zbMATH Keywords: generalized composition series
zbMATH Keywords: P-cocomposition series
zbMATH Keywords: composition P- cochain
zbMATH Keywords: quasi-projective modules
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
full work available at URL: 0021-8693(88)90029-4
OpenAlex ID: W2055905996
cites work: Q3220700
cites work: On M-projective and M-injective modules
cites work: Elements of noncommutative arithmetic. I
cites work: Composition series relative to a module
cites work: The descending chain condition relative to a torsion theory
cites work: Q4200223
cites work: Q3943093
cites work: Q4049223
description: scientific article; zbMATH DE number 4077479