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

Let R be a 2-torsion free semiprime *-ring. The aim of this paper is to show that every Jordan triple (α,β)*-derivation on R is a Jordan (α,β)*-derivation. Furthermore, every Jordan triple left α^*- centralizer on R is a Jordan left α^*-centralizer. Consequently, every generalized Jordan triple (α,β)*- derivation on R is a Jordan (α,β)*-derivation.