16 citations · 51 across the 17 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math.GR2010★ 1 cited
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
B. M. Vernikov
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
math.GR2010
Proofs of definability of some varieties and sets of varieties of semigroups
B. M. Vernikov
We show that many important varieties and sets of varieties of semigroups may be defined by relatively simple and transparent first-order formulas in the lattice of all semigroup v…
math.GR2010★ 3 cited
Lower-modular elements of the lattice of semigroup varieties. III
V. Yu. Shaprynskii, B. M. Vernikov
We completely determine all lower-modular elements of the lattice of all semigroup varieties. As a corollary, we show that a lower-modular element of this lattice is modular.