arXiv subjects

Lingli Zeng

Publications and source records attributed to Lingli Zeng.

2 recordsLinked to original sources

arXiv2025

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

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.

math.GR↗

arXiv2024

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

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.

math.GR↗