On Reversible Rings, Their Generalization and Quasi-Idempotent Elements

Abstract

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.

arXiv commentExtremely 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