Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem

G. Grätzer

paper

Homomorphisms and principal congruences of bounded lattices. III. The Independence Theorem

arXiv:2208.02142

Abstract

A new result of G. Czédli states that for an ordered set $P$ with at least two elements and a group $G$ , there exists a bounded lattice $L$ such that the ordered set of principal congruences of $L$ is isomorphic to $P$ and the automorphism group of $L$ is isomorphic to $G$ . I provide an alternative proof utilizing a result of mine with J. Sichler from the late 1960-s.