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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.GR2026
Compatible additions on a six-element commutative semigroup: equational bases and subvariety lattices
Lili Wang, Jinjing Wu, Aifa Wang
Let be the six-element commutative semigroup occurring as the common multiplicative reduct of the semirings and . The closing paragraph of Shao, Ren, and Gao~\cite…
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…