Lie and Jordan structure in prime Γ-rings with Γ-centralizing derivations

الملخص EN

Let M be a prime Γ-ring satisfying abc abc for all a, b, c M and , with center Z, and U be a Lie (Jordan) ideal.

A mapping d : M M is called Γ- centralizing if [u, d ( u) Z for all u U and .

In this paper, we studied Lie and Jordan ideal in a prime Γ- ring M together with Γ-centralizing derivations on U.