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...
Main Authors: | , |
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Format: | Journal article |
Language: | English |
Published: |
2013
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