English

Eversible and reversible semigroups and semirings

Rings and Algebras 2019-08-16 v1

Abstract

The main purpose of this paper is to investigate the zero-divisors of semigroups with zero and semirings and in particular, to discuss eversible and reversible semigroups and semirings. We also introduce a new ring-like algebraic structure called prenearsemiring and generalize Cohn's theorem for reversible rings in this context. Finally, we discuss when expectation semirings are reversible or eversible.

Keywords

Cite

@article{arxiv.1902.05406,
  title  = {Eversible and reversible semigroups and semirings},
  author = {Peyman Nasehpour},
  journal= {arXiv preprint arXiv:1902.05406},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T07:41:04.198Z