Varieties of monoids with a distributive subvariety lattice

Q: What type of study is this?

This is a Quantitative Study study.

Sergey Gusev

doi:10.1090/proc/17360

September 30, 2025Proceedings of the American Mathematical Society

Varieties of monoids with a distributive subvariety lattice

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Key Points

Completely classifying aperiodic monoids reveals structural properties significant to algebraic theory.
The analysis focuses on subvariety lattices, which play a crucial role in understanding the organization of monoids.
Aperiodic monoids are defined by having no non-trivial subgroups, simplifying their classification.
Understanding distributive lattices adds depth to algebraic research, informing broader mathematical principles.

Implication

Complete classification of aperiodic monoids with distributive subvariety lattice, revealing new insights.

Abstract

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

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Cite This Study

Sergey Gusev (2025) studied this question.

synapsesocial.com/papers/68dd91cffe798ba2fc498aa4 https://doi.org/10.1090/proc/17360

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Varieties of monoids with a distributive subvariety lattice

Key Points

Implication

Abstract

Discussion

Cite This Study

Varieties of monoids with a distributive subvariety lattice

Key Points

Implication

Abstract

Discussion

Cite This Study

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