Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive
Sergey V. Gusev
TL;DR
This paper provides a complete classification of certain aperiodic monoid varieties characterized by commuting idempotents and a distributive subvariety lattice, advancing the understanding of their algebraic structure.
Contribution
It offers the first comprehensive classification of aperiodic monoid varieties with commuting idempotents and distributive subvariety lattices.
Findings
Complete classification of the specified monoid varieties
Identification of algebraic properties leading to distributive lattices
Clarification of the structure of subvariety lattices in these monoids
Abstract
We completely classify all varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Rings, Modules, and Algebras