Generalized derivations on Lie ideals in prime rings

Authors : Öznur GÖLBAŞI and Emine KOÇ

Pages : 23-28

View : 16 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

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: insert ignore into journalissuearticles values(i); If [u,finsert ignore into journalissuearticles values(u);] \in Z, for all u \in U, then U \subset Z. insert ignore into journalissuearticles values(ii); insert ignore into journalissuearticles values(f,d); and insert ignore into journalissuearticles values(g,h); be two generalized derivations of R such that finsert ignore into journalissuearticles values(u);v=uginsert ignore into journalissuearticles values(v);, for all u,v \in U, then U \subset Z. insert ignore into journalissuearticles values(iii); finsert ignore into journalissuearticles values([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