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, ÖZNUR and KOÇ, EMİNE
(2011)
"Generalized derivations on Lie ideals in prime rings,"
Turkish Journal of Mathematics: Vol. 35:
No.
1, Article 3.
https://doi.org/10.3906/mat-0807-27
Available at:
https://journals.tubitak.gov.tr/math/vol35/iss1/3
