Open Access
2014 Characterization of Multiplicative Lie Triple Derivations on Rings
Xiaofei Qi
Abstr. Appl. Anal. 2014: 1-10 (2014). DOI: 10.1155/2014/739730


Let R be a ring having unit 1. Denote by Z R the center of R. Assume that the characteristic of R is not 2 and there is an idempotent element e R such that aRe =0a=0 and aR1-e=0a=0. It is shown that, under some mild conditions, a map L:RR is a multiplicative Lie triple derivation if and only if Lx=δx+hx for all xR, where δ:RR is an additive derivation and h:RZR is a map satisfying ha,b,c=0 for all a,b,cR. As applications, all Lie (triple) derivations on prime rings and von Neumann algebras are characterized, which generalize some known results.


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Xiaofei Qi. "Characterization of Multiplicative Lie Triple Derivations on Rings." Abstr. Appl. Anal. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022987
MathSciNet: MR3232862
Digital Object Identifier: 10.1155/2014/739730

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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