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