Multiplicative Lie Isomorphisms Between Prime Rings |
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| Authors: | Zhaofang Bai Jinchuan Hou |
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| Institution: | 1. School of Mathematical Sciences, Xiamen University , Xiamen, China;2. Department of Mathematics , Shanxi Normal University , Linfen, China;3. Department of Mathematics , Shanxi Normal University , Linfen, China;4. Department of Mathematics , Taiyuan University of Technology , Taiyuan, China |
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| Abstract: | Let ? be a prime ring with 1 containing a nontrivial idempotent E, and let ?′ be another prime ring. If Φ:? → ?′ is a multiplicative Lie isomorphism, then Φ(T + S) = Φ(T) + Φ(S) + Z′ T,S for all T, S ∈ ?, where Z′ T,S is an element in the center 𝒵′ of ?′ depending on T and S. |
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| Keywords: | Multiplicative Lie isomorphism Prime ring |
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