Varieties of monoids with a distributive subvariety lattice

A monoid is aperiodic if all its subgroups are trivial. We completely classify all varieties of aperiodic monoids whose subvariety lattice is distributive.

Authors

Institutions

Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-09-30
DOI
https://doi.org/10.1090/proc/17360
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Varieties of monoids with a distributive subvariety lattice

Sergey Gusev
Proceedings of the American Mathematical Society
Advanced Algebra and Logic
article

Varieties of monoids with a distributive subvariety lattice

Sergey Gusev
article en

Abstract

A monoid is aperiodic if all its subgroups are trivial. We completely classify all varieties of aperiodic monoids whose subvariety lattice is distributive.

Proceedings of the American Mathematical Society
Ural Federal University (RU)
Openalex Percentile: Top 72%
Advanced Algebra and Logic
DOISourceOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Varieties of monoids with a distributive subvariety lattice — Sergey Gusev · Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS