English

Some Counterexamples in Ring Theory

Rings and Algebras 2026-02-09 v9

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.

Keywords

Cite

@article{arxiv.2203.02274,
  title  = {Some Counterexamples in Ring Theory},
  author = {Santosh Kumar Pandey},
  journal= {arXiv preprint arXiv:2203.02274},
  year   = {2026}
}

Comments

6 pages. This is final and improved version of the article

R2 v1 2026-06-24T10:02:02.690Z