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关于可逆环、其推广及拟幂等元

On Reversible Rings, Their Generalization and Quasi-Idempotent Elements

Vivek Bhabani Lama

arXiv 2610.06200首次发表:更新:

发表机构

Indian Institute of Technology Kharagpur(印度理工学院哈格普尔分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文证明可逆环及其相关环类关于幂等元的刻画可推广至拟幂等元,保持性质不变。

AI 中文摘要

本文证明了可逆环及与之相关的各种环(如i-可逆环、半交换环和i-整环)在文献中已知的关于幂等元性质的刻画,可以推广到拟幂等元的完全相同性质上。

英文摘要

In this article, we show that the characterization of reversible rings and various other rings related to them such as i-reversible rings, semi-commutative rings and i-domains in terms of properties related to idempotent elements known in the literature can be generalized to exactly the same properties for quasi-idempotent elements.

CommentsExtremely Preliminary Draft, this may be considered as just a note on reversible rings. The draft will be updated with more results in the same direction in the coming days. Comments and Suggestions are welcome

论文原文

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