3 papers
math.CO2026
The finite basis problem for the flat semirings
Zidong Gao, Miaomiao Ren, Xianzhong Zhao
We focus on the finite basis problem for flat semirings of the form , where is an arbitrary set of nonempty words. We prove that generates a Cross variety (and hen…
math.GR2025
Embedding lattices of quasivarieties of periodic groups into lattices of additively idempotent semiring varieties: An algebraic proof
Miaomiao Ren, Xianzhong Zhao, Mikhail V. Volkov
A general result by Jackson (Flat algebras and the translation of universal Horn logic to equational logic, J. Symb. Log. 73(1) (2008) 90--128) implies that the lattice of all quas…
math.GR2025
The finite basis problem for additively idempotent semirings that relate to S_7
Zidong Gao, Marcel Jackson, Miaomiao Ren +1
The -element additively idempotent semiring is a nonnitely based algebra of the smallest possible order. In this paper we study the nite basis problem for some additively…