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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We show that the extended centroid is a semifield and give some properties of the centroid of a right multiplicatively cancellable prime semiring.
📌 3 Key Takeaways
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Objective & Hypothesis:We define and study the extended centroid of a prime semiring.
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Key Findings & Data:We define and study the extended centroid of a prime semiring.
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Conclusion & Impact:We show that the extended centroid is a semifield and give some properties of the centroid of a right multiplicatively cancellable prime semiring.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Semiring · prime ideal · prime semiring
Abstract
We define and study the extended centroid of a prime semiring. We show that the extended centroid is a semifield and give some properties of the centroid of a right multiplicatively cancellable prime semiring.
Özet
We define and study the extended centroid of a prime semiring. We show that the extended centroid is a semifield and give some properties of the centroid of a right multiplicatively cancellable prime semiring.
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Cite This Article
ÖZTÜRK, M. A., YAZARLI, H. (2022). On the centroid of prime semirings. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 4, 577–584. https://ajindex.com/articles/609041