English

Classical semirings

Commutative Algebra 2025-07-24 v1 Rings and Algebras

Abstract

In this paper, we investigate semirings whose elements are either units or zero-divisors (nilpotents) with many examples. While comparing these semirings with their counterparts in ring theory, we observe that their behavior is different in many cases.

Keywords

Cite

@article{arxiv.2403.04903,
  title  = {Classical semirings},
  author = {Hussein Behzadipour and Henk Koppelaar and Peyman Nasehpour},
  journal= {arXiv preprint arXiv:2403.04903},
  year   = {2025}
}

Comments

17 pages

R2 v1 2026-06-28T15:12:56.469Z