3 papers
math.RA2026
A separating identity for matrix semirings over
Lili Wang, Jiewei Zhang, Aifa Wang
Jiao and Ren proved that the varieties generated by the matrix semirings $\M_n(S_7)$ form an ascending chain of nonfinitely based varieties, and asked whether consecutive members a…
math.RA2026
The strong nonfinite basis property of
Lili Wang, Qingrui Yin, Aifa Wang
We prove that the three-element additively idempotent semiring is strongly nonfinitely based: every finite additively idempotent semiring whose generated variety contains $S_…
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…