English

The finite basis problem for additively idempotent semirings of order four, II

Group Theory 2025-01-08 v1

Abstract

We study the finite basis problem for 44-element additively idempotent semirings whose additive reducts are quasi-antichains. Up to isomorphism, there are 9393 such algebras. We show that with the exception of the semiring S(4,435)S_{(4, 435)}, all of them are finitely based.

Keywords

Cite

@article{arxiv.2501.03263,
  title  = {The finite basis problem for additively idempotent semirings of order four, II},
  author = {Mengya Yue and Miaomiao Ren and Lingli Zeng and Yong Shao},
  journal= {arXiv preprint arXiv:2501.03263},
  year   = {2025}
}