Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings

Let R be a 2-torsion free ring and let L be a noncentral Lie ideal of R, and let F:R→R and G:R→R be two generalized derivations of R. We will analyse the structure of R in the following cases: (a) R is prime and F(um)=G(un) for all u∈L and fixed positive integers m≠n; (b) R is prime and F((upvq)m)=...

Full description

Saved in:
Bibliographic Details
Main Authors: Vincenzo De Filippis, Nadeem UR Rehman, Abu Zaid Ansari
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2014/216039
Tags: Add Tag
No Tags, Be the first to tag this record!