arXiv subjects

Vyacheslav Yu. Shaprynskiǐ

Publications and source records attributed to Vyacheslav Yu. Shaprynskiǐ.

2 recordsLinked to original sources

arXiv2026

Semiring identities in the semigroup $B_2$

The 5-element Brandt semigroup $B_2$ admits the structure of a naturally semilattice-ordered inverse semigroup, thus becoming an additively idempotent semiring with the operation of taking greatest lower bounds as the semiring addition. For this semiring we present a finite basis of identities and thus, by the previous results, complete the solution of Finite Basis Problem for combinatorial naturally semilattice-ordered inverse semigroups.

math.GR↗

arXiv2023

Semiring identities in the semigroup $B_0$

The semigroup $B_0$ is the only, up to isomorphism, 4-element subsemigroup of the 5-element Brandt semigroup $B_2$. 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.

math.GR↗