Profinite completions and canonical extensions of Heyting algebras
Necessary and sufficient conditions are obtained for the profinite completion of a Heyting algebra to coincide with its canonical extension. This provides a new criterion for a variety of Heyting algebras to be finitely generated, and a new proof of the fact that every finitely generated variety of Heyting algebras is canonical.
scientific article; zbMATH DE number 5118502
scientific article