Settling a Number of Questions about Hyper-Archimedean Lattice-Ordered Groups

DOI10.2307/2047986zbMath0707.06007OpenAlexW4252486311MaRDI QIDQ3487402

Jorge Martinez, Paul F. Conrad

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047986

zbMATH Keywords

Specker groupalmost disjoint setcardinal product of subgroups of the realshyper-Archimedean l-groups

Mathematics Subject Classification ID

Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Axiom of choice and related propositions (03E25)

Related Items (8)

Adjoining a strong unit to an Archimedean lattice-ordered group ⋮ Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation ⋮ Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group ⋮ Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings ⋮ Hyperarchimedean coproducts. ⋮ Some unusual epicomplete Archimedean lattice-ordered groups ⋮ Essential adjunction of a strong unit to an Archimedean lattice-ordered group ⋮ On adjoining units to hyper-archimedean $l$-groups

Cites Work

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• Signatures and \(S\)-discrete lattice-ordered groups
• Groupes et anneaux reticules
• Some Structure Theorems for Lattice-Ordered Groups
• Epi-archimedean groups
• The Hahn Embedding Theorem for Abelian Lattice-Ordered Groups
• Minimal vector lattice covers
• Minimal vector lattice covers

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