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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…