Work

Modular Elements in the Lattice of Monoid Varieties

Year: 2026

Type: article

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.

Source: Bulletin of the Australian Mathematical Society

DOI: 10.1017/s0004972725100786

Author: SERGEY V. GUSEV

Institution: Ural Federal University

Language: English

Topic: semigroups and automata theory

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,550

Funder: Ministry of Science and Higher Education of the Russian Federation

Award: G6921094562

OpenAlex ID: W7124030926

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