Commutativity of one sided s-unital rings
type: Item
instance of: scholarly article
title: Commutativity of one sided s-unital rings
zbMATH Open document ID: 0727.16021
DOI: 10.1007/BF03323164
author: H. A. S. Abujabal
published in: Results in Mathematics
publication date: 1990-01-01T00:00:00Z
review text: Let R be an associative left (right) s-unital ring. It is shown that R is commutative if either (i) R satisfies the identity \([x^ ny-y^ mx^ k,x]=0\), \(m\geq 2\), or (ii) R satisfies the identity \(x^ n[x,y]=[x,y]x^ k\), where \(0<k<n\), and R is n!-torsion free or \(k=0\), \(n>0\).
Mathematics Subject Classification ID: 16U70
Mathematics Subject Classification ID: 16U80
zbMATH DE Number: 4200422
zbMATH Keywords: s-unital ring
zbMATH Keywords: commutative
zbMATH Keywords: identity
reviewed by: Yu. N. Maltsev
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03323164
OpenAlex ID: W2084533378
description: scientific article; zbMATH DE number 4200422