Classification of limit varieties of J-trivial monoids

Abstract

A variety of algebras is called limit if it is non-finitely based but all its proper subvarieties are finitely based. We present a new pair of limit varieties of monoids and show that together with the five limit varieties of monoids previously discovered by Jackson, Zhang and Luo and the first-named author, there are exactly seven limit varieties of J-trivial monoids.

26 pages

References in corpus (1)

• Limit varieties of aperiodic monoids with commuting idempotents

Cited by in corpus (5)

• The lattice of varieties of monoids
• Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive
• Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive
• Cross varieties of aperiodic monoids
• Varieties of monoids with a distributive subvariety lattice