On the existence of maximal \(\mathcal{S}\)-closed submodules
type: Item
instance of: scholarly article
title: On the existence of maximal \(\mathcal{S}\)-closed submodules
zbMATH Open document ID: 1362.16001
DOI: 10.4171/RSMUP/136-18
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2017-02-15T00:00:00Z
review text: Summary: The goal of this paper is to characterize the right non-singular rings \(R\) for which every non-singular right \(R\)-module contains a maximal \(\mathcal{S}\)-closed submodule. Several examples and related results are given.
Mathematics Subject Classification ID: 16D10
Mathematics Subject Classification ID: 16D70
Mathematics Subject Classification ID: 16P70
zbMATH DE Number: 6684910
zbMATH Keywords: \(\mathcal{S}\)-closed submodule
zbMATH Keywords: primitive idempotents
zbMATH Keywords: reduced ring
author: Ulrich F. Albrecht
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/rsmup/136-18
OpenAlex ID: W2563792131
description: scientific article; zbMATH DE number 6684910