Abstract:
We completely determine all commutative semigroup varieties that are cancellable elements of the lattice SEM of all semigroup varieties. In particular, we verify that a commutative semigroup variety is a cancellable element of the lattice SEM if and only if it is a modular element of this lattice.
Description:
Gusev S. V. Cancellable elements of the lattice of semigroup varieties / S.V. Gusev , D.V. Skokov , B. M . Vernikov // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 1. - Рp.34-46