B. M. Vernikov

activity

20092020

most citedChain varieties of monoids

16 citations · 51 across the 17 of their papers we have counts for

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math.GR2009

Chains and anti-chains in the lattice of epigroup varieties

D. V. Skokov, B. M. Vernikov

Let $E_{n}$ be the variety of all epigroups of index $\leq n$ . We prove that, for an arbitrary natural number $n$ , the interval $[E_{n}, E_{n + 1}]$ of the latt…

math.GR2009

Special elements in the lattice of overcommutative semigroup varieties revisited

V. Yu. Shaprynskii, B. M. Vernikov

We completely determine all distributive, codistributive, standard, costandard, and neutral elements in the lattice of overcommutative semigroup varieties, thus correcting a gap co…