Abstract
Let M be a 2-torsion free semiprime G-ring with involution satisfying the condition that ( and ). In this paper, we will prove that if a non-zero Jordan G*-derivation d on M satisfies for all and , then .
Highlights
The notion of Γ-ring was introduced as a generalized extension of the concept on classical ring
The extensions and the generalizations of various important results in the theory of classical rings to the theory of Γ-rings have attracted a wider attention as an emerging field of research to enrich the world of algebra
Let M be a 2-torsion free semiprime Γ-ring with involution and d : M → M be a Jordan Γ*
Summary
The notion of Γ-ring was introduced as a generalized extension of the concept on classical ring. (2016) Jordan Γ*-Derivation on Semiprime Γ-Ring M with Involution. An additive mapping ( xα x) → ( xα x)* on a Γ-ring M is called an involution if ( xα y)* = y*α x* and ( xα x)** = ( xα x) for all x, y ∈ M and α ∈ Γ .
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