Characterization of Lie Derivations on Prime Rings |
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Authors: | Xiaofei Qi |
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Institution: | Department of Mathematics , Shanxi University , Taiyuan , China |
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Abstract: | Let ? be a unital prime ring with characteristic not 2 and containing a nontrivial idempotent P. It is shown that, under some mild conditions, an additive map L on ? satisfies L(A, B]) = L(A), B] + A, L(B)] whenever AB = 0 (resp., AB = P) if and only if it has the form L(A) = ?(A) + h(A) for all A ∈ ?, where ? is an additive derivation on ? and h is an additive map into its center. |
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Keywords: | Derivations Lie derivations Prime rings |
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