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Title: An identity related to centralizers in semiprime rings (English)
Author: Vukman, Joso
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 40
Issue: 3
Year: 1999
Pages: 447-456
Category: math
Summary: The purpose of this paper is to prove the following result: Let $R$ be a $2$-torsion free semiprime ring and let $T:R\rightarrow R$ be an additive mapping, such that $2T(x^2)=T(x)x+xT(x)$ holds for all $x\in R$. In this case $T$ is left and right centralizer. (English)
Keyword: prime ring
Keyword: semiprime ring
Keyword: derivation
Keyword: Jordan derivation
Keyword: left (right) centralizer
Keyword: left (right) Jordan centralizer
MSC: 16A12
MSC: 16A68
MSC: 16A72
MSC: 16N60
MSC: 16R50
MSC: 16W10
MSC: 16W20
idZBL: Zbl 1014.16021
idMR: MR1732490
Date available: 2009-01-08T18:54:03Z
Last updated: 2012-04-30
Stable URL:
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