16 citations · 102 across the 23 of their papers we have counts for
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math.GR2017★ 5 cited
Special elements of the lattice of monoid varieties
S. V. Gusev
We completely classify all neutral or costandard elements in the lattice of all monoid varieties. Further, we prove that an arbitrary upper-modular element of $\math…
math.GR2017★ 16 cited
Chain varieties of monoids
Sergey V. Gusev, Boris M. Vernikov
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-group chain varieties of semigroups were completely classified by Sukhanov in 19…
math.GR2017★ 1 cited
Cancellable elements of the lattice of semigroup varieties
Sergey V. Gusev, Dmitry V. Skokov, Boris M. Vernikov
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we prove that, for commutati…