3 papers
math.GR2026
Finite bases for full power semirings of finite nilpotent semigroups
Lili Wang, Qingrui Yin, Aifa Wang
We investigate finite equational bases for full power semirings of finite semigroups, including the empty set, in the constant-free signature with addition and multiplication. For…
math.GR2026
The Finite Basis Problem for Semirings of Order Four
Aifa Wang, Lili Wang, Qingrui Yin +1
The finite basis problem for small semirings differs from its semigroup counterpart even in order three. Recent work classifies several additive types of four-element additively id…
math.GR2025
On the variety generated by all semirings of order two
Aifa Wang, Lili Wang
There are ten distinct two-element semirings up to isomorphism, denoted \( L_2, R_2, M_2, D_2, N_2, T_2, Z_2, W_2, Z_7 \), and \( Z_8 \) (see \cite{bk}). Among these, the multiplic…