X. Zhao

activity

20212026

most citedThe additively idempotent semiring

S_{7}^{0}

is nonfinitely based

2 citations · 3 across the 8 of their papers we have counts for

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math.GR2026

A Continuum in the Lattice of Semiring Varieties: The Interval $[V (S), V (S^{0})]$

Zidong Gao, Miaomiao Ren, Xianzhong Zhao

For an additively idempotent semiring (ai-semiring) $S$ , let $S^{0}$ denote the ai-semiring obtained from $S$ by adjoining a new element $0$ . In this paper, we develop an approach to…

math.CO2026

The finite basis problem for the flat semirings $S (W)$

Zidong Gao, Miaomiao Ren, Xianzhong Zhao

We focus on the finite basis problem for flat semirings of the form $S (W)$ , where $W$ is an arbitrary set of nonempty words. We prove that $S (W)$ generates a Cross variety (and hen…

A Continuum in the Lattice of Semiring Varieties: The Interval [V(S),V(S0)]

The finite basis problem for the flat semirings S(W)

A Continuum in the Lattice of Semiring Varieties: The Interval $[V (S), V (S^{0})]$

The finite basis problem for the flat semirings $S (W)$