JORDAN TRIPLE (?, ?) * -DERIVATIONS ON SEMIPRIME RINGS WITH INVOLUTION

Abstract

Let R be a 2-torsion free semiprime*-ring. The aim of this paper isto show that every Jordan triple (?, ?)*-derivation on R is a Jordan(?, ?)*-derivation. Furthermore, every Jordan triple left ?*-centralizeron R is a Jordan left ?*-centralizer. Consequently, every generalizedJordan triple (?, ?)-derivation on R is a Jordan (?, ?)*-derivation.