Classification of limit varieties of 𝒥-trivial monoids

Abstract

A variety of algebras is a limit variety 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 (Formula presented.) -trivial monoids. © 2022 Taylor & Francis Group, LLC.