Characterization of Multiplicative Lie Triple Derivations on Rings

Xiaofei Qi

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

Let be a ring having unit 1. Denote by the center of . Assume that the characteristic of is not 2 and there is an idempotent element such that . It is shown that, under some mild conditions, a map is a multiplicative Lie triple derivation if and only if for all , where is an additive derivation and is a map satisfying for all . As applications, all Lie (triple) derivations on prime rings and von Neumann algebras are characterized, which generalize some known results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:739730

DOI: 10.1155/2014/739730

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