MODULAR ELEMENTS IN THE LATTICE OF MONOID VARIETIES

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.

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2026-01-29
DOI
https://doi.org/10.1017/s0004972725100786
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

MODULAR ELEMENTS IN THE LATTICE OF MONOID VARIETIES

Sergey V. Gusev
Bulletin of the Australian Mathematical Society
Advanced Algebra and Logic
article

MODULAR ELEMENTS IN THE LATTICE OF MONOID VARIETIES

Sergey V. Gusev
article en

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.

Bulletin of the Australian Mathematical Society
Ural Federal University (RU)
Openalex Percentile: Top 87%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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MODULAR ELEMENTS IN THE LATTICE OF MONOID VARIETIES — Sergey V. Gusev · Bulletin of the Australian Mathematical Society (2026) | TGRS Research Map | TGRS