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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Volume: 42 Issue: 6

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

Nadeem Ur Rehman
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Publication Date
2013-06-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Consequently, every generalizedJordan triple (α, β)∗ -derivation on R is a Jordan (α, β)∗ -derivation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let R be a 2-torsion free semiprime ∗-ring.
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Key Findings & Data:The aim of this paper isto show that every Jordan triple (α, β)∗ -derivation on R is a Jordan(α, β)∗ -derivation.
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Conclusion & Impact:Consequently, every generalizedJordan triple (α, β)∗ -derivation on R is a Jordan (α, β)∗ -derivation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:ring · ∗-ring · β)∗ - derivation

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.

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Cite This Article

Rehman, N. U. (2013). JORDAN TRIPLE (α, β) ∗ -DERIVATIONS ON SEMIPRIME RINGS WITH INVOLUTION. Hacettepe Journal of Mathematics and Statistics, Volume: 42 Issue: 6. https://ajindex.com/articles/1403443

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