Generalized Jordan derivations on semiprime rings

Feng Wei, Zhankui Xiao

科研成果: 期刊稿件文章同行评审

5 引用 (Scopus)

摘要

It is shown that, given a 2-torsion-free semiprime ring with unit e, every generalized Jordan derivation on R is a generalized derivation. Let n be a fixed positive integer, R be a noncommutative (n + 1)!-torsion-free prime ring with the center CR. It is proved that, if μ : R → R is a generalized Jordan derivation of R such that μ(x)xn + xnμ{x) ∈ CR for all x ∈ R, then μ = 0.

源语言英语
页(从-至)789-798
页数10
期刊Demonstratio Mathematica
40
4
DOI
出版状态已出版 - 10月 2007

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Wei, F., & Xiao, Z. (2007). Generalized Jordan derivations on semiprime rings. Demonstratio Mathematica, 40(4), 789-798. https://doi.org/10.1515/dema-2007-0405