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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 Sayı: 3

Rings Whose Units Commute with Zero Divisor Elements

Tülay Yıldırım(KARABUK UNIVERSITY)0000-0001-5933-9752
Pages
1099–1103
Publication Date
2020-12-31
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AI Summary & Key Takeaways

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

Moreover, the uni-zero divisor rings property is studied under some algebraic constructions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper is about rings R for which units commute with zero divisors.
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Key Findings & Data:These rings are called uni-zero divisor rings.
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Conclusion & Impact:Moreover, the uni-zero divisor rings property is studied under some algebraic constructions.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Birimli halkalar · halkalanın sıfır bölücü elemanları kümesi · değişmeli halkalar

Abstract

This paper is about rings R for which units commute with zero divisors. These rings are called uni-zero divisor rings. It is deduced that uni-zero divisor ring is not abelian and also give several examples of some important classes of rings (a kind of integral matrices, matrix ring over any stably finite ring ) that are not uni-zero divisor ring. Here many characterizations of uni-zero divisor rings are compared with well-known classes of rings. Moreover, the uni-zero divisor rings property is studied under some algebraic constructions.

Özet

Bu makale, R halkasının birimleri ile sıfır bölücülerinin değişmeli olması hakkındadır. Bu halkalara tek-sıfır bölücü halkalar denir. Burada tek-sıfır bölücü halkalarının birçok karakterizasyonu, iyi bilinen halka sınıflarıyla karşılaştırılır.

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Cite This Article

Yıldırım, T. (2020). Rings Whose Units Commute with Zero Divisor Elements. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 Sayı: 3, 1099–1103. https://doi.org/10.18185/erzifbed.721961

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References (6)

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