The lattice of varieties of monoids

Abstract

We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated.

References in corpus (6)

• From $A$ to $B$ to $Z$
• Varieties of monoids with complex lattices of subvarieties
• Classification of limit varieties of J-trivial monoids
• Two weaker variants of congruence permutability for monoid varieties
• Cancellable elements of the lattice of monoid varieties
• Varieties of aperiodic monoids with central idempotents whose subvariety lattice is distributive

Cited by in corpus (5)

• From $A$ to $B$ to $Z$
• Varieties of aperiodic monoids with commuting idempotents whose subvariety lattice is distributive
• Varieties of monoids with a distributive subvariety lattice
• Clones of pigmented words and realizations of special classes of monoids
• Minimal monoids generating varieties with complex subvariety lattices