2 papers
math.RA2026
The finite basis problem for matrix semirings
Jun Jiao, Miaomiao Ren
We first prove that two matrix semirings and are equationally equivalent whenever additively idempotent semirings and are equati…
math.RA2026
The finite basis problem for matrix semirings over a two-element additively idempotent semiring
Jun Jiao, Miaomiao Ren
We provide a complete classification of matrix semirings over two-element additively idempotent semirings with respect to the finite basis property.Our main t…