On generalized derivations and lie ideals in prime rings

Let R be a prime ring of characteristic not 2, U a nonzero square closed Lie ideal of R and F,G be two generalized derivations of R with associated derivations d and δ of R respectively. In the present paper, we study the situations (1) F(u)G(v)-uv ∈ Z(R), (2) F(u)G(v)+uv ∈ Z(R), (3) d(u)F(v)-vu ∈ Z...

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Bibliographic Details
Published in:Tamsui Oxford Journal of Mathematical Sciences 29, 4 (2013(N)).
Main Author: Dhara, Basudeb
Other Authors: Pattanayak, Atanu
Format: Article
Language:English
Subjects: