Journal of Jilin University Science Edition
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ZHANG Fangjuan
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Let M be a unital prime ring containing a nontrivial projection P. With some methods of operator theory, it is shown that if φ: M→M is a nonlinear Lie ce ntralizer, then there exist a scalar λ and a map ξ: M→C to meet with ξ([A,B])=0 (A,B∈M) so that φ(X)=λX+ξ(X)I for all X∈M.
Key words: Lie centralizers, prime rings, nonlinear
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ZHANG Fangjuan. Nonlinear Lie Centralizers on Prime Rings[J].Journal of Jilin University Science Edition, 2014, 52(01): 23-28.
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URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2014/V52/I01/23
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