MODULAR ELEMENTS IN THE LATTICE OF MONOID VARIETIES

Bulletin of the Australian Mathematical Society 2026 Open access

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Authors: Sergey V. Gusev
DOI: 10.1017/s0004972725100786
Cited by: 0

Abstract

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. We classify all modular elements of the lattice of all monoid varieties.

Fields of Study & Subjects

semigroups and automata theory Advanced Algebra and Logic Advanced Topology and Set Theory

Publication details

Journal / source
Bulletin of the Australian Mathematical Society
Volume
113
Issue
3
Pages
504–514
Publication date
29 January 2026
Language
EN