Cancellable elements of the lattice of semigroup varieties

Sergey Valentinovich Gusev, Dmitry Vyacheslavovich Skokov, Boris Munevich Vernikov


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.


semigroup, variety, cancellable element of a lattice, modular element of a lattice

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