English

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

Group Theory 2025-09-23 v2

Abstract

We study the finite basis problem for 44-element additively idempotent semirings whose additive reducts have two minimal elements and one coatom. Up to isomorphism, there are 112112 such algebras. We show that 106106 of them are finitely based and the remaining ones are nonfinitely based.

Keywords

Cite

@article{arxiv.2504.07511,
  title  = {The finite basis problem for additively idempotent semirings of order four, III},
  author = {Miaomiao Ren and Zexi Liu and Mengya Yue and Yizhi Chen},
  journal= {arXiv preprint arXiv:2504.07511},
  year   = {2025}
}