Sergey V. Gusev

collaborators

3 papers

math.RA2025

The finite basis problem for the endomorphism semirings of finite semilattices

Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov

For every semilattice $A = (A, +)$ , the set $End (A)$ of its endomorphisms forms a semiring under pointwise addition and composition. We prove that that if…

math.GR2023

The finite basis problem for endomorphism semirings of finite chains

Sergey V. Gusev, Mikhail V. Volkov

For every semilattice $S = (S, +)$ , the set $End (S)$ of its endomorphisms forms a semiring under point-wise addition and composition. We prove that the se…

math.GR2023

Semiring and involution identities of powers of inverse semigroups

Igor Dolinka, Sergey V. Gusev, Mikhail V. Volkov

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 condition…