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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.
📌 3 Key Takeaways
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Objective & Hypothesis:Let M be a $Gamma$-ring and D a non-zero left derivation on M.
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Key Findings & Data:Let M be a $Gamma$-ring and D a non-zero left derivation on M.
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Conclusion & Impact:We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Let M be a $Gamma$-ring and D a non-zero left derivation on M. We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.
Özet
M bir gamma- halkası ve D, M üzerinde sıfırdan farklı bölen olacak şekilde M içinde bir m elemanı varsa o zaman M nin değişmeli olduğunu gösterdik. Buna uygun bir örnekte verdik.
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Cite This Article
NAKAJIMA, A., SAPANCI, M. (2022). Gamma halkalar üzerine bir not. Turkish Journal of Mathematics, Cilt: 20 - Sayı: 4, 463–465. https://ajindex.com/articles/604542