Some Results on a *-Generalized derivation and Jordan *-Generalized derivation | ||
| Diyala Journal For Pure Science | ||
| Article 1, Volume 8, Issue 3, July 2012, Pages 450-459 | ||
| Author | ||
| Abstract | ||
| Let Rhea *-ring, an additive mapping g: R → R is said to be a *-generalized derivation if there exists a *-derivation d: R→R such that g(xy) = g(x)y* + xd(y) for all x.yϵR. And an additive mapping g: R → R is said to be a Jordan *-generalized derivation if there exists a Jordan *-derivation d: R → R such that g(x2) = g(x)x* + xd(x) for all xϵR. The purpose of this paper is to prove some result on a *-generalized derivation and Jordan*-generalized derivation which study some properties of these mappings, also we will give a relations between this mappings and commutetively or normality of *-ring R. | ||
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