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arXiv · 2407.15342

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

Miaomiao Ren·Junyang Liu·Lingli Zeng·Menglong Chen
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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.

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Miaomiao Ren, Junyang Liu, Lingli Zeng, Menglong Chen. 2024-07-22. The finite basis problem for additively idempotent semirings of order four, I. https://arxiv.org/abs/2407.15342

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