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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Also, we investigate commutative property of prime ring 𝑅 for two generalized 𝛼− derivations 𝐷 and 𝐻.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we generalize previous studies on right ideals of prime ring 𝑅 with generalized 𝛼− derivation 𝐷 and show that 𝑅 is commutative under different conditions.
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Key Findings & Data:In this paper, we generalize previous studies on right ideals of prime ring 𝑅 with generalized 𝛼− derivation 𝐷 and show that 𝑅 is commutative under different conditions.
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Conclusion & Impact:Also, we investigate commutative property of prime ring 𝑅 for two generalized 𝛼− derivations 𝐷 and 𝐻.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Asal halka · İdeal · Genelleşirilmiş 𝛼−türev
Abstract
In this paper, we generalize previous studies on right ideals of prime ring 𝑅 with generalized 𝛼− derivation 𝐷 and show that 𝑅 is commutative under different conditions. Also, we investigate commutative property of prime ring 𝑅 for two generalized 𝛼− derivations 𝐷 and 𝐻.
Özet
Bu makalede, genelleştirilmiş 𝛼− türevli 𝑅 asal halkasının sağ ideallerinde çalışılarak , 𝛼− türevli halkalardaki önceki çalışmalar genelleştirilmiş ve asal halkanın farklı durumlarda değişmeli olduğu gösterilmiştir. Bunlara ek olarak, iki genelleştirilmiş 𝛼− türev 𝐷 ve 𝐻 alınarak asal halkanın değişmelilik koşulları incelenmiştir.
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Cite This Article
Albayrak, B. (2019). A Generalization on Right Ideals of Prime Rings with α-Derivations. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 Sayı: 4, 2190–2199. https://doi.org/10.21597/jist.531856