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 |
卷 | 40 |
期 | 4 |
DOI | |
出版状态 | 已出版 - 10月 2007 |
指纹
探究 'Generalized Jordan derivations on semiprime rings' 的科研主题。它们共同构成独一无二的指纹。引用此
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