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arXiv · 2511.06358

Modular elements in the lattice of monoid varieties

Sergey V. Gusev
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Abstract

An element $x$ of a lattice $L$ is modular if $L$ has no five-element sublattice isomorphic to the pentagon in which $x$ would correspond to the lonely midpoint. In the present work, we classify all modular elements of the lattice of all monoid varieties.

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Sergey V. Gusev. 2025-11-09. Modular elements in the lattice of monoid varieties. https://doi.org/10.1017/s0004972725100786

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