16 citations · 51 across the 17 of their papers we have counts for
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math.GR2017
On modular and cancellable elements of the lattice of semigroup varieties
Dmitry V. Skokov, Boris M. Vernikov
We completely determine all semigroup varieties satysfiyng a permutational identity of length 3 that are modular elements of the lattice of all semigroup varieties. Using this resu…
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…