Lie Ideals and Generalized Derivations in Semiprime Rings

Author(s):

V. De Filippis , N. Ur Rehman , A. Z. Ansari

Message:
Abstract:
Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F: R! R is called a generalized derivation on R if there exists a derivation d: R to R such that F(xy) = F(x)y + xd(y) holds for all x; y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.
Keywords:

Derivations , Generalized Derivations , Semiprime Rings , Lie Ideals

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:10 Issue: 2, Nov 2015
Pages:
45 to 54
https://www.magiran.com/p1456645