On additive maps and commutativity in rings
type: Item
instance of: scholarly article
title: On additive maps and commutativity in rings
zbMATH Open document ID: 0938.16027
DOI: 10.1007/BF03322096
author: Howard E. Bell
author: Jason Lucier
published in: Results in Mathematics
publication date: 2000-06-18T00:00:00Z
review text: Various results concerning (skew-)commuting and skew-centralizing maps on (semi)prime rings are obtained. A sample result: Let \(R\) be a 2-torsionfree semiprime ring, \(U\) be a nonzero left ideal of \(R\) and \(d\) be a derivation of \(R\). If \(d\) is skew-commuting on \(U\) (that is, \(ud(u)+d(u)u=0\) for all \(u\in U\)), then \(d(U)=0\).
reviewed by: Matej Brešar
Mathematics Subject Classification ID: 16U80
Mathematics Subject Classification ID: 16W20
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16W25
zbMATH DE Number: 1346908
zbMATH Keywords: skew-commuting maps
zbMATH Keywords: endomorphisms
zbMATH Keywords: prime rings
zbMATH Keywords: skew-centralizing maps
zbMATH Keywords: semiprime rings
zbMATH Keywords: derivations
MaRDI profile type: Publication
cites work: Centralizing Mappings of Semiprime Rings
cites work: Q4698903
cites work: On skew-commuting mappings of rings
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cites work: Commutativity results for semiprime rings with derivations
cites work: On derivations and commutativity in semiprime rings
cites work: A Note on Derivations
cites work: Semicentralizing automorphisms of prime rings
full work available at URL: https://doi.org/10.1007/bf03322096
OpenAlex ID: W2091150043
description: scientific article; zbMATH DE number 1346908