Canonical extensions of bounded Archimedean vector lattices

DOI10.1007/S00012-018-0495-YzbMath1469.06021OpenAlexW2796972084WikidataQ129988189 ScholiaQ129988189MaRDI QIDQ1646613

Patrick J. Morandi, Guram Bezhanishvili, Bruce Olberding

Publication date: 25 June 2018

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-018-0495-y

zbMATH Keywords

functional representationcompact Hausdorff spacevector latticecanonical extensioncontinuous real-valued function

Mathematics Subject Classification ID

Compactness (54D30) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

A point-free approach to canonical extensions of Boolean algebras and bounded Archimedean \(\ell \)-algebras ⋮ Free bounded Archimedean \(\ell\)-algebras ⋮ A generalization of Gelfand-Naimark-Stone duality to completely regular spaces ⋮ Gelfand-Naimark-Stone duality for normal spaces and insertion theorems ⋮ A New Approach to the Katětov–Tong Theorem

Cites Work

• \(\Delta_1\)-completions of a poset.
• Bounded distributive lattice expansions
• DEDEKIND COMPLETIONS OF BOUNDED ARCHIMEDEAN ℓ-ALGEBRAS
• The Normal Completion of the Lattice of Continuous Functions
• Boolean Algebras with Operators. Part I
• On vector lattice with a unit
• Bounded lattice expansions
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