Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0807-27
Keywords
Derivations, Lie ideals, generalized derivations, centralizing mappings, prime rings
First Page
23
Last Page
28
Recommended Citation
GÖLBAŞI, Ö, & KOÇ, E (2011). Generalized derivations on Lie ideals in prime rings. Turkish Journal of Mathematics 35 (1): 23-28. https://doi.org/10.3906/mat-0807-27
