- Hacettepe Journal of Mathematics and Statistics
- Vol: 42 Issue: 6
- JORDAN TRIPLE (α, β) ∗ -DERIVATIONS ON SEMIPRIME RINGS WITH INVOLUTION
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
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.