Notes on generalized Jordan ( \sigma,\tau) *-derivations of semiprime rings with involution

Abstract

Let R be a 6-torsion free semiprime *-ring, \tau an endomorphism of R, \sigam an epimorphism of R and f : R ! R an additive mapping. In this paper we proved the following result: f is a generalized Jordan ( \sigma,\tau) *-¡derivation if and only if f is a generalized Jordan triple ( \sigma,\tau) *-derivation.

Keywords

• Semiprime *-ring
• *-derivation
• (_, _)∗ −derivation, Jordan (_, _ )∗ -derivation
• Jordan triple (_, _ )∗−derivation
• generalized Jordan (_, _)∗ −derivation
• generalized Jordan triple (_, _ )∗ −derivation