PROFINITE COMPLETIONS AND CANONICAL EXTENSIONS OF SEMILATTICE REDUCTS OF DISTRIBUTIVE LATTICES

A bounded distributive lattice L has two unital semilattice reducts, denoted L̂^ and Lv. These ordered structures have a common canonical extension Lδ. As algebras, they also possess profinite completions, L̂, L̂^ and L̂v; the first of these is well known to coincide with Lδ. Depending on the struct...

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Bibliographic Details
Main Authors: Gouveia, M, Priestley, H
Format: Journal article
Language:English
Published: 2013