Nonlinear skew lie triple derivations between factors |
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| Authors: | Chang Jing Li Fang Fang Zhao Quan Yuan Chen |
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| Institution: | 1. School of Mathematical Sciences, Shandong Normal University, Ji'nan 250014, P. R. China;
2. School of Information, Renmin University of China, Beijing 100872, P. R. Chin;
3. College of Information, Jingdezhen Ceramic Institute, Jingdezhen 333403, P. R. China |
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| Abstract: | Let A be a factor. For A,B ∈ A, define by A,B]* = AB-BA* the skew Lie product of A and B. In this article, it is proved that a map Φ :A→A satisfies Φ(A,B]*, C]*) = Φ(A),B]*,C]* + A, Φ(B)]*, C]* + A,B]*, Φ(C)]* for all A,B,C ∈ A if and only if Φ is an additive *-derivation. |
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| Keywords: | Skew Lie triple derivation derivation factor |
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