On non-\(M\)-singular modules with \((C_{11}^+)\)
type: Item
instance of: scholarly article
title: On non-\(M\)-singular modules with \((C_{11}^+)\)
zbMATH Open document ID: 1012.16004
DOI: 10.1023/A:1020811229645
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 2003-05-18T00:00:00Z
review text: The author studies non-\(M\)-singular modules with the property that each submodule has a complement which is a direct summand in the module and with the summand intersection property, in the full subcategory of \(R\)-Mod whose objects are all \(R\)-modules subgenerated by \(M\). Conditions for an \(R\)-module to satisfy this condition are given. Special conditions are found in the case of the module \(N^n\), where \(N\) is a non-\(M\)-singular uniform right \(R\)-module; for example, this has the above properties if and only if \(\text{End}(N)\) is right semi-hereditary and \(N\) is a flat left End\((N)\)-module.
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16D50
Mathematics Subject Classification ID: 16D40
zbMATH DE Number: 1912079
zbMATH Keywords: non-singular modules
zbMATH Keywords: modules with \((C_{11}^+)\)
zbMATH Keywords: summand intersection property
zbMATH Keywords: direct summands
reviewed by: Mirela Ştefănescu
MaRDI profile type: Publication
full work available at URL: a:1020811229645
OpenAlex ID: W4235828716
description: scientific article; zbMATH DE number 1912079