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Journals / Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2019 / Cilt: 21 - Sayı: 1

On under the certain condition of one-sided ideals and derivations of prime gamma rings

Belirli koşul altındaki asal gamma halkalarının tek yanlı idealleri ve türevleri üzerine

Ahmet GENÇ
Pages
223–231
Publication Date
2019-03-15
DOI
—
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AI Summary & Key Takeaways

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

In this study we try to obtain similar characterization for prime gamma rings.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we obtained some results for under certain condition of prime gamma rings parallel to the study of Brešar [3] “One-sided Ideals and Derivations of Prime Rings”.
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Key Findings & Data:Brešar proved if d(U)U=0 then d(x)=[q,x]=qx-xq for q Q s.t. qU=0, for prime ring R with Char R≠2, d, derivation on R and U, right ideal of R.
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Conclusion & Impact:In this study we try to obtain similar characterization for prime gamma rings.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Prime gamma ring · derivation · right ideal

Abstract

In this study we obtained some results for under certain condition of prime gamma rings parallel to the study of Brešar [3] “One-sided Ideals and Derivations of Prime Rings”. Brešar proved if d(U)U=0 then d(x)=[q,x]=qx-xq for q Q s.t. qU=0, for prime ring R with Char R≠2, d, derivation on R and U, right ideal of R. And use this for some next theorems. In this study we try to obtain similar characterization for prime gamma rings.

Özet

Bu çalışmada, belirli koşul altında M asal gamma halkasının herhangi bir (d,k) türevi için elde ettiğimiz bazı sonuçlar Brešar’ ın [3] “One-sided Ideals and Derivations of Prime Rings” adlı makalesine paralel olarak verilmiştir. Brešar makalesin de R asal halka, d, R halkasının bir türevi ve U, R halkasının bir sağ ideali olmak üzere, d(U)U=0 koşulu varken qU=0 olacak şekilde bazı q Q için, d(x)=[q,x]=qx-xq olduğunu ifade etmiş ve daha sonraki bazı teoremlerde bu özellikten faydalanmıştır. Bu makalede benzer karekterizasyonlar asal gamma halkalar için elde edilmeye çalışılmıştır.

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Cite This Article

GENÇ, A. (2019). On under the certain condition of one-sided ideals and derivations of prime gamma rings. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 21 - Sayı: 1, 223–231. https://ajindex.com/articles/250708

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