Modular elements in the lattice of monoid varieties
Group Theory
2026-01-13 v1
Abstract
An element of a lattice is modular if has no five-element sublattice isomorphic to the pentagon in which 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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Cite
@article{arxiv.2511.06358,
title = {Modular elements in the lattice of monoid varieties},
author = {Sergey V. Gusev},
journal= {arXiv preprint arXiv:2511.06358},
year = {2026}
}
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9 pages