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arXiv · 1709.02944

On modular and cancellable elements of the lattice of semigroup varieties

Dmitry V. Skokov·Boris M. Vernikov
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Abstract

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 result, we provide an example of a semigroup variety that is a modular but not cancellable element of this lattice.

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Dmitry V. Skokov, Boris M. Vernikov. 2017-09-09. On modular and cancellable elements of the lattice of semigroup varieties. https://arxiv.org/abs/1709.02944

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