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math.GR2018
Cancellable elements of the lattices of varieties of semigroups and epigroups
V. Yu. Shaprynskii, D. V. Skokov, B. M. Vernikov
We completely determine all semigroup [epigroup] varieties that are cancellable elements of the lattice of all semigroup [respectively epigroup] varieties.
math.GR2018★ 2 cited
The lattice of varieties of implication semigroups
S. V. Gusev, H. P. Sankappanavar, B. M. Vernikov
In 2012, the second author introduced and examined a new type of algebras as a generalization of De Morgan algebras. These algebras are of type (2,0) with one binary and one nullar…
math.GR2018
Cancellable elements of the lattice of semigroup varieties: varieties satisfying a permutational identity of length 3
Boris M. Vernikov
We completely determine all semigroup varieties satisfiyng a permutational identity of length 3 that are cancellable elements of the lattice of all semigroup varieties. Using this…