Generalized derivations on Lie ideals in prime rings

Authors : Öznur Gölbaşi And Emine Koç

Pages : 23-28

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for all u \in U, then U \subset Z. (ii) (f,d) and (g,h) be two generalized derivations of R such that f(u)v=ug(v), for all u,v \in U, then U \subset Z. (iii) f([u,v])=\pm \lbrack u,v], for all u,v\in U, then U \subset Z.
Keywords : Derivations, Lie ideals, generalized derivations, centralizing mappings, prime rings