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arXiv · 2511.19010

Modular elements of the lattices of varieties of semigroups and epigroups. I

Vyacheslav Yu. Shaprynski\vı·Dmitry V. Skokov
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Abstract

This paper is the first part of a study devoted to description of modular elements in the lattices of semigroup and epigroup varieties. We provide strengthened necessary and sufficient conditions under which a semigroup or epigroup variety constitutes a modular element in its respective lattice. These results refine previously known criteria and lay the groundwork for a complete classification, to be presented in the second part of the study.

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Vyacheslav Yu. Shaprynski\vı, Dmitry V. Skokov. 2025-11-24. Modular elements of the lattices of varieties of semigroups and epigroups. I. https://arxiv.org/abs/2511.19010

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