Modular elements in the lattice of monoid varieties

2025/11/09 by Gusev, Sergey V. · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebraic Geometry and Number Theory #FOS: Mathematics #Group Theory (math.GR) #Primary 20M07 #Rings, Modules, and Algebras #secondary 08B15

paper · doi:10.48550/arxiv.2511.06358

openalex publication_date 2025/11/09 · openalex created_date 2025/11/12 · openalex updated_date 2026/07/28

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.

Citations

• Special elements in lattices of semigroup varieties

Cited by

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

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