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Cancellable Elements of the Lattice of Epigroup Varieties

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Abstract

We completely describe all commutative epigroup varieties that are cancellable elements of the lattice EPI of all epigroup varieties. In particular, we prove that a commutative epigroup variety is a cancellable element of the lattice EPI if and only if it is a modular element of this lattice.

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Authors and Affiliations

  1. Ural Federal University, pr. Lenina 51, Ekaterinburg, 620000, Russia

    D. V. Skokov

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  1. D. V. Skokov
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Correspondence to D. V. Skokov.

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Original Russian Text © D.V. Skokov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, No. 9, pp. 59–67.

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Skokov, D.V. Cancellable Elements of the Lattice of Epigroup Varieties. Russ Math. 62, 52–59 (2018). https://doi.org/10.3103/S1066369X18090062

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