Geodesic
Cancellable elements of the lattice of~semigroup~varieties
Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 34-46

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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.
Keywords: semigroup, variety, cancellable element of a lattice, modular element of a lattice. 
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     title = {Cancellable elements of the lattice of~semigroup~varieties},
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     pages = {34--46},
     publisher = {mathdoc},
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     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a4/}
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Sergey V. Gusev; Dmitry V. Skokov; Boris M. Vernikov. Cancellable elements of the lattice of~semigroup~varieties. Algebra and discrete mathematics, Tome 26 (2018) no. 1, pp. 34-46. http://geodesic.mathdoc.fr/item/ADM_2018_26_1_a4/