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

Year 2013, Volume: 42 Issue: 6, 641 - 651, 01.06.2013

Nadeem Ur Rehman

Abstract

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

Keywords

ring, ∗-ring, (α, β)∗ - derivation, Jordan (α, β)∗ -derivation, Jordantriple (α, β)∗ -derivation, generalized Jordan triple (α, β)∗ -derivation.

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