Jordan Derivations on Lie Ideals of ?-Prime Rings

Abstract

In this paper we prove that, if U is a -square closed Lie ideal of a 2-torsion free -prime ring R and is an additive mapping satisfying for all then holds for all

Derivations on Lie Ideals of σ-Prime Γ-Rings

“…On the other hand, various remarkable characterizations of -prime rings on -square closed Lie ideals have been studied by many authors viz. Bergun (1981), Herstein (1969), Khan et al (2010), , Paul and Rahman (2015). v + ud(v) for all u, v  U and   , where U is a -square closed Lie ideal of a 2-torsion free -prime -ring M, and hence every Jordan derivations on a -prime -ring M is a derivation on M.…”