Jordan generalized triple derivations of prime Γ-rings

Abstract

In this article, we develop some important results relation to the cocept of generalized derivaion and Jordan generalized triple derivation of gamma rings. Through every generalized triple derivation of a gamma ring M is obviously a Jordan generalized triple derivation of M, but the coverse statement is ingeneral not true. Here we prove that every Jordan generalized triple derivation of a 2-torsion free prime gamma ring is a generalized derivation.