Lie and Jordan Structure in Prime Γ- rings with Γ-centralizing Derivations
Prime Γ-ring
Lie ideal
Jordan ideal
Γ- centralizing
Derivation.
Let M be a prime Γ-ring satisfying abc abc for all a,b,cM 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 uU and .In this paper
, we studied Lie and Jordan ideal in a prime Γ - ring M together with Γ -
centralizing derivations on U.