Being an inverse semigroup, the semigroup $B_2$ can naturally be considered an additively idempotent semiring and $B_0$ is its subsemiring. We show that the semiring $B_0$ has a finite basis of identities.doi:10.1007/s00233-024-10476-0Vyacheslav Yu. Shaprynskivi...
Being an inverse semigroup, the semigroup B 2 can naturally be considered an additively idempotent semiring and B 0 is its subsemiring. We show that the semiring B 0 has a finite basis of identities.doi:10.1007/s00233-024-10476-0Shaprynskiǐ, Vyacheslav Yu....
The set of all subsets of any inverse semigroup forms an involution semiring under set-theoretical union and element-wise multiplication and inversion. We find structural conditions on a finite inverse semigroup guaranteeing that neither semiring nor involution identities of the involution semiring of...
Inverse semigroupNatural orderBrandt monoidRook monoidFinite Basis ProblemWe study the Finite Basis Problem for finite additively idempotent semirings whose multiplicative reducts are inverse semigroups. In particular, we show that each additively idempotent semiring whose multiplicative reduct is a non...