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

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…