Some Counterexamples in Ring Theory
arXiv:2203.02274
Abstract
In this note we provide important and significant observations in ring theory related to weakly tripotent rings. We provide counterexamples for the structure theorem for commutative weakly tripotent rings appeared in arXiv (2017) and Bull. Korean Math. Soc.(2018). Also we give some additional results to improve the existing results.
6 pages. This is final and improved version of the article