The Relatively Uniform Completion, Epimorphisms and Units, in Divisible Archimedean L-Groups

DOI10.1515/ms-2015-0027zbMath1349.06048OpenAlexW2466591625MaRDI QIDQ5254082

Anthony W. Hager

Publication date: 8 June 2015

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0027

zbMATH Keywords

lattice-ordered groupweak order unitepimorphismArchimedean \(l\)-groupnear unitrelatively uniform completion

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Algebraic properties of function spaces in general topology (54C40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale

Cites Work

• Essential reflections versus minimal embeddings
• Convex vector lattices and l-algebras
• Algebraic extensions of an archimedean lattice-ordered group. I
• More on the laterally \(\sigma\)-complete reflection of an Archimedean lattice-ordered group
• A new characterization of the continuous functions on a locale
• Epicomplete archimedean l-groups via a localic Yosida theorem
• Atomless Parts of Spaces.
• On the representation of the vector lattice

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