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arxiv: 2511.06358 · v1 · pith:XJGBBMPVnew · submitted 2025-11-09 · 🧮 math.GR

Modular elements in the lattice of monoid varieties

classification 🧮 math.GR
keywords latticemodularelementsmonoidvarietiesclassifycorrespondelement
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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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