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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★ 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…