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arXiv · 2504.07511

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

Miaomiao Ren·Zexi Liu·Mengya Yue·Yizhi Chen
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Abstract

We study the finite basis problem for $4$-element additively idempotent semirings whose additive reducts have two minimal elements and one coatom. Up to isomorphism, there are $112$ such algebras. We show that $106$ of them are finitely based and the remaining ones are nonfinitely based.

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Miaomiao Ren, Zexi Liu, Mengya Yue, Yizhi Chen. 2025-04-10. The finite basis problem for additively idempotent semirings of order four, III. https://arxiv.org/abs/2504.07511

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