Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive

2023/08/22 by Sergey V. Gusev, Gusev, Sergey V.
Computer Science · Mathematics · #20M07 #Advanced Algebra and Logic #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2308.11544

openalex publication_date 2023/08/22 · openalex created_date 2023/08/24 · openalex updated_date 2026/07/28

Abstract

We completely classify all varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive.

Related

• Varieties of monoids with a distributive subvariety lattice
• Finiteness conditions for lattices of monoid varieties
• Semilinear idempotent distributive l-monoids
• Limit varieties of aperiodic monoids
• Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties