On modular and cancellable elements of the lattice of semigroup varieties

Published 9 Sep 2017 in math.GR | (1709.02944v1)

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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