The Yosida space and representation of the projectable hull of an archimedean ℓ-group with weak unit

DOI10.2989/16073606.2017.1280710zbMath1423.06058OpenAlexW2593950815MaRDI QIDQ5236052

Anthony W. Hager, Warren Wm. McGovern

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1280710

zbMATH Keywords

vector latticeYosida representationArchimedean \(\ell\)-groupminimal prime spectrumprincipal projection propertyprojectableprincipal polar

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Bounded equivalence of hull classes in Archimedean lattice-ordered groups with unit.
• From Freudenthal's spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
• Complemented lattice-ordered groups
• Weakly least integer closed groups
• The hulls of representablel-groups andf-rings
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