A special identity of \((\alpha,\beta)\)-derivations and its consequences
type: Item
instance of: scholarly article
title: A special identity of \((\alpha,\beta)\)-derivations and its consequences
zbMATH Open document ID: 0883.16025
author: Jui-Chi Chang
published in: Taiwanese Journal of Mathematics
publication date: 1997-10-06T00:00:00Z
review text: The paper deals with \((\alpha,\beta)\)-derivations of prime rings satisfying some special relations. In the main result \((\alpha,\beta)\)-derivations \(\delta,g,h\) satisfying \(\delta(x)=ag(x)+h(x)b\) for all \(x\) in a nonzero ideal \(U\) of a prime ring \(R\) are characterized. Here, \(a\) and \(b\) are noncentral elements of the symmetric Martindale ring of quotients of \(R\).
Mathematics Subject Classification ID: 16W25
Mathematics Subject Classification ID: 16N60
Mathematics Subject Classification ID: 16R50
zbMATH DE Number: 1054445
zbMATH Keywords: \((\alpha, \beta)\)-derivations
zbMATH Keywords: prime rings
zbMATH Keywords: symmetric Martindale rings of quotients
reviewed by: Matej Brešar
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500404922
OpenAlex ID: W1592991479
DOI: 10.11650/TWJM/1500404922
description: scientific article; zbMATH DE number 1054445