S. V. Gusev

activity

20142026

most citedChain varieties of monoids

16 citations · 102 across the 23 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.GR2023★ 1 cited

Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive

Sergey V. Gusev

We completely classify all varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive.

math.GR2023★ 1 cited

Strongly nonfinitely based monoids

Sergey V. Gusev, Olga B. Sapir, Mikhail V. Volkov

We show that the 42-element monoid of all partial order preserving and extensive injections on the 4-element chain is not contained in any variety generated by a finitely based fin…

math.GR2023

Semiring identities of semigroups of reflexive relations and upper triangular boolean matrices

S. V. Gusev

We show that the following semirings satisfy the same identities: the semiring $R_{n}$ of all reflexive binary relations on a set with $n$ elements, the semiring $\mathcal{…