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Characterization of Multiplicative Lie Triple Derivations on Rings

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  • Xiaofei Qi

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.

Suggested Citation

  • Xiaofei Qi, 2014. "Characterization of Multiplicative Lie Triple Derivations on Rings," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, July.
    • Handle: RePEc:hin:jnlaaa:739730
    DOI: 10.1155/2014/739730
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