3 papers
math.GR2026
Semiring identities in the semigroup
Vyacheslav Yu. Shaprynskiǐ
The 5-element Brandt semigroup admits the structure of a naturally semilattice-ordered inverse semigroup, thus becoming an additively idempotent semiring with the operation o…
math.GR2025
Modular elements of the lattices of varieties of semigroups and epigroups. I
Vyacheslav Yu. Shaprynski\vı, Dmitry V. Skokov
This paper is the first part of a study devoted to description of modular elements in the lattices of semigroup and epigroup varieties. We provide strengthened necessary and suffic…
math.GR2023
Semiring identities in the semigroup
Vyacheslav Yu. Shaprynskiǐ
The semigroup is the only, up to isomorphism, 4-element subsemigroup of the 5-element Brandt semigroup . Being an inverse semigroup, the semigroup can naturally be…