On a class of rings with essential right socle
type: Item
instance of: scholarly article
title: On a class of rings with essential right socle
zbMATH Open document ID: 0681.16018
DOI: 10.1007/BF02170053
author: K. Salavova
author: K. I. Beidar
published in: Acta Mathematica Hungarica
publication date: 1989-01-01T00:00:00Z
review text: A subset \(0\not\in L\subseteq M\) of a right \(A\)-module \(M\) is said to be a set of cogenerators of \(M\) if \(L\cap N\neq \emptyset\) for every non-zero submodule \(N\) of \(M\). The authors characterize modules possessing a finite set of cogenerators. This yields also a characterization of the class of rings having the property that the class of finitely cogenerated modules and that of modules with finite set of cogenerators coincide.
Mathematics Subject Classification ID: 16D80
zbMATH DE Number: 4114830
zbMATH Keywords: set of cogenerators
zbMATH Keywords: finitely cogenerated modules
reviewed by: Ladislav Bican
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02170053
OpenAlex ID: W1964405748
description: scientific article; zbMATH DE number 4114830