2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GR2023★ 2 cited
The additively idempotent semiring is nonfinitely based
Yanan Wu, Miaomiao Ren, Xianzhong Zhao
We show that the additively idempotent semiring has no finite basis for its equational theory. This answers an open problem posed by Jackson et al. (J. Algebra 611 (2022),…
math.GR2022
Flat extensions of groups and limit varieties of ai-semirings
Miaomiao Ren, Marcel Jackson, Xianzhong Zhao +1
The present paper is a continuation of \cite{jrz} and is devoted to the study of limit varieties of additively idempotent semirings. A limit variety is a nonfinitely based variety…
math.LO2021
Nonfinitely based ai-semirings with finitely based semigroup reducts
Marcel Jackson, Miaomiao Ren, Xianzhong Zhao
We present some general results implying nonfinite axiomatisability of many additively idempotent semirings with finitely based semigroup reducts. The smallest is a -element com…