We provide sucient conditions for a lattice polynomial function to be self-commuting. We explicitly describe self-commuting polynomial functions over chains.
We establish categorical dualities between varieties of isotropic median algebras and suitable categories of operational and relational topological structures. We follow a general duality theory of B.A. Davey and H. Werner. The duality results are used to describe free isotropic median algebras. If the number of free generators is less than five, the… (More)
We present a general theorem characterizing finite congruence lattices of algebras belonging to a congruence distributive variety. We apply the result to some small varieties of lattices.