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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

On J-rigid rings

Soraya Karimi
Shervin Sahebi
Mohammad Habibi
Pages
1815–1823
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let R be a ring with an endomorphism σ.
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Key Findings & Data:We introduce the notion of σ-J-rigid rings asa generalization of σ-rigid rings, and investigate its properties.
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Conclusion & Impact:Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Let R be a ring with an endomorphism σ. We introduce the notion of σ-J-rigid rings asa generalization of σ-rigid rings, and investigate its properties. It is proved that a ring Ris σ-J-rigid if and only if R[[x; σ]] is ¯σ-J-rigid, while the σ-J-rigid property is not Moritainvariant. Moreover, we prove that every ring isomorphism preserves J-rigid structure,and several known results are extended.

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Cite This Article

Karimi, S., Sahebi, S., Habibi, M. (2022). On J-rigid rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1815–1823. https://ajindex.com/articles/529753

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