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

Shuliang Huang; Emine Koç

doi:10.5269/bspm.v32i1.19918

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

Authors

Shuliang Huang Chuzhou University Department of Mathematics
Emine Koç Cumhuriyet University Faculty of Science Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v32i1.19918

Keywords:

Semiprime *-ring, *-derivation, (_, _)âˆ— âˆ’derivation, Jordan (_, _ )âˆ— -derivation, Jordan triple (_, _ )âˆ—âˆ’derivation, generalized Jordan (_, generalized Jordan triple (_, _ )âˆ— âˆ’derivation

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.