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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 4

Rings such that, for each unit u, u − $u^n$ belongs to the Jacobson radical

Tülay Yıldırım
M. Tamer Koşan
Troung Cong Quynh
Jan Žemlička
Pages
1397–1404
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Mathematics Subject Classification (2010). 16N20, 16D60, 16U60, 16W10

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A ring R is said to be n-UJ if u − $u^n$ ∈ J(R) for each unit u of R, where n > 1 is a fixed integer.
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Key Findings & Data:In this paper, the structure of n-UJ rings is studied under various conditions.
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Conclusion & Impact:Mathematics Subject Classification (2010). 16N20, 16D60, 16U60, 16W10
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Domain Parameters

Abstract

A ring R is said to be n-UJ if u − $u^n$ ∈ J(R) for each unit u of R, where n > 1 is a fixed integer. In this paper, the structure of n-UJ rings is studied under various conditions. Moreover, the n-UJ property is studied under some algebraic constructions. Mathematics Subject Classification (2010). 16N20, 16D60, 16U60, 16W10

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Cite This Article

Yıldırım, T., Koşan, M. T., Quynh, T. C., Žemlička, J. (2022). Rings such that, for each unit u, u − $u^n$ belongs to the Jacobson radical. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 4, 1397–1404. https://ajindex.com/articles/529573

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