The finite basis problem for additively idempotent semirings of order four, I
Group Theory
2025-08-28 v3
Abstract
We study the finite basis problem for 4-element additively idempotent semirings whose additive reducts are semilattices of height 1. Up to isomorphism, there are 58 such algebras. We show that 49 of them are finitely based and the remaining ones are nonfinitely based.
Cite
@article{arxiv.2407.15342,
title = {The finite basis problem for additively idempotent semirings of order four, I},
author = {Miaomiao Ren and Junyang Liu and Lingli Zeng and Menglong Chen},
journal= {arXiv preprint arXiv:2407.15342},
year = {2025}
}
Comments
31 pages