Comparison of MacNeille, canonical, and profinite completions

DOI10.1007/S11083-008-9095-3zbMath1166.06002OpenAlexW2124937970MaRDI QIDQ1013989

Jacob Vosmaer, Guram Bezhanishvili

Publication date: 24 April 2009

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-008-9095-3

zbMATH Keywords

MacNeille completionduality theoryprofinite completioncanonical completion

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Heyting algebras (lattice-theoretic aspects) (06D20) Lattices and duality (06D50) Structure theory of Boolean algebras (06E05)

Related Items (3)

Profinite completions and MacNeille completions of finitely presented MV-algebras ⋮ MacNeille completion and profinite completion can coincide on finitely generated modal algebras ⋮ Representations of Sheffer stroke algebras and Visser algebras

Cites Work

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• Varieties of complex algebras
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Equational Bases and Nonmodular Lattice Varieties
• MacNeille completions and canonical extensions
• Boolean Algebras with Operators. Part I
• Splittings of a Lattice
• Bounded lattice expansions

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