• LIE IDEALS AND LEFT JORDAN GENERALIZED DERIVATIONS OF PRIME RINGS

Abstract

Let be a ring and a nonempty subset of . An additive mapping is called Left generalized derivation (Left Jordan derivation) on If there exists a derivation such that respect to left Jordan generalized derivation holds for all in . Suppose that is a 2- torsion free prime ring and a non zero Lie ideal of such that in for all in. In this paper we proved that if is a left Jordan generalized derivation on , then is  a  left generalized derivation on