From Freudenthal's spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra

DOI10.1515/forum-2017-0044OpenAlexW2963743499MaRDI QIDQ1743455

Daniel McNeill, Vincenzo Marra, Andrea Pedrini, Richard N. Ball

Publication date: 13 April 2018

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.3152

zbMATH Keywords

compactificationzero-dimensional spacemaximal ideallattice-ordered groupRiesz spacespectral spaceminimal idealArchimedean propertyYosida representationprincipal projection propertyFreudenthal's spectral theoremprojectable hull

Mathematics Subject Classification ID

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

Related Items (3)

Separable MV-algebras and lattice-ordered groups ⋮ Orders on groups, and spectral spaces of lattice-groups ⋮ The Yosida space and representation of the projectable hull of an archimedean ℓ-group with weak unit

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