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Certain Pairs of Generalized Derivations of Semiprime Rings | ||
| Al-Rafidain University College For Sciences | ||
| Article 1, Volume 0, Issue 32, 2017, Pages 247-264 | ||
| Author | ||
| Mehsin Jabel Atteya | ||
| Abstract | ||
| Let R be a semiprime ring with the cancellation property ,U be a set of R, (D,d) and (G,g) be generalized derivations of R ,if R admits to satisfied some conditions ,where d acts as a left centralizer (resp.g acts as a left centralizer).Then there exist idempotents ϵ1, ϵ 2, ϵ 3 C and an invertible element λ C such that ϵ iϵ j= 0, for i≠j, ϵ 1+ ϵ 2+ ϵ 3 =1,and ϵ 1f(x)=λϵ 1g(x), ϵ 2g(x)= 0, ϵ 3f(x)= 0 hold for all x U. (*) During our paper we will using (*)for denoted to above result. | ||
| Keywords | ||
| generalized derivations | ||
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