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Modular elements in the lattice of monoid varieties (2511.06358v1)

Published 9 Nov 2025 in math.GR

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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