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

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arxiv 2501.03263 v1 pith:ZSET7AGS submitted 2025-01-04 math.GR

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

classification math.GR
keywords additivelybasisfiniteidempotentproblemsemiringsadditivealgebras
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We study the finite basis problem for $4$-element additively idempotent semirings whose additive reducts are quasi-antichains. Up to isomorphism, there are $93$ such algebras. We show that with the exception of the semiring $S_{(4, 435)}$, all of them are finitely based.

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