Products of idempotent endomorphisms of free acts of infinite rank
type: Item
instance of: scholarly article
title: Products of idempotent endomorphisms of free acts of infinite rank
zbMATH Open document ID: 0888.20041
DOI: 10.1007/BF01320734
author: Sydney Bulman-Fleming
author: John Fountain
published in: Monatshefte für Mathematik
publication date: 1998-06-08T00:00:00Z
full work available at URL: https://eudml.org/doc/178779
review text: Let \(I\) be an infinite set, \(S\) be a monoid, \(F_S(I)\) is the free right \(S\)-act with free generating set \(I\) and \(\text{End} F_S(I)\) is the monoid of \(S\)-endomorphisms of \(F_S(I)\). A description of \(S\)-endomorphisms of \(F_S(I)\) is given that are products of idempotents in \(\text{End} F_S(I)\).
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M50
zbMATH DE Number: 1038366
zbMATH Keywords: free right acts
zbMATH Keywords: monoids of endomorphisms
zbMATH Keywords: free generating sets
zbMATH Keywords: products of idempotents
reviewed by: Vladimir Fleischer
MaRDI profile type: Publication
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OpenAlex ID: W2066993593
description: scientific article; zbMATH DE number 1038366