English

Supernilpotent Semirings

Rings and Algebras 2025-05-09 v2

Abstract

We prove that supernilpotent and nilpotent semirings with absorbing zero are the same and provide a necessary and sufficient condition for supernilpotency (nilpotency).

Keywords

Cite

@article{arxiv.2410.09271,
  title  = {Supernilpotent Semirings},
  author = {Nebojša Mudrinski and Milica Šobot},
  journal= {arXiv preprint arXiv:2410.09271},
  year   = {2025}
}
R2 v1 2026-06-28T19:18:35.052Z