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

Authors : Nadeem Ur REHMAN

Pages : 641-651

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Publication Date : 2013-06-01

Article Type : Research Paper

Abstract :Let R be a 2-torsion free semiprime ∗-ring. The aim of this paper isto show that every Jordan triple insert ignore into journalissuearticles values(α, β);∗ -derivation on R is a Jordaninsert ignore into journalissuearticles values(α, β);∗ -derivation. Furthermore, every Jordan triple left α∗ -centralizeron R is a Jordan left α∗ -centralizer. Consequently, every generalizedJordan triple insert ignore into journalissuearticles values(α, β);∗ -derivation on R is a Jordan insert ignore into journalissuearticles values(α, β);∗ -derivation.
Keywords : ring, ∗ ring, α, β, ∗ derivation, Jordan α, β, ∗ derivation, Jordantriple α, β, ∗ derivation, generalized Jord