Relative uniform completeness and order-convex representations of Archimedean \(\ell \)-groups and \(f\)-rings

DOI10.1016/j.topol.2011.06.023zbMath1233.06012OpenAlexW2001589642MaRDI QIDQ639719

Donald G. Johnson, Anthony W. Hager

Publication date: 22 September 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.023

zbMATH Keywords

lattice-ordered groupuniform completenessArchimedean \(\ell \)-groupArchimedean \(f\)-ringconvex representationJohnson representationorder-convexityYosida representation

Mathematics Subject Classification ID

Algebraic properties of function spaces in general topology (54C40) Ordered groups (06F15) Real-valued functions in general topology (54C30) Ordered rings, algebras, modules (06F25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• A theorem and a question about epicomplete Archimedean lattice-ordered groups
• A representation theorem revisited
• Convex vector lattices and l-algebras
• Groupes et anneaux reticules
• On the structure of a class of archimedean lattice-ordered algebras
• On a Representation Theory for a Class of Archimedean Lattice-Ordered Rings
• On vector lattice with a unit, II

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