On the Embedding into a Ring of an Archimedean ι-Group

DOI10.4153/CJM-1979-001-5zbMath0406.06007OpenAlexW2312396973MaRDI QIDQ4192117

Anthony W. Hager, Lewis C. Robertson

Publication date: 1979

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1979-001-5

zbMATH Keywords

Archimedean Lattice-Ordered Group with a Weak UnitF- Ring HomomorphismMinimal F-Ring

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (19)

Essential reflections versus minimal embeddings ⋮ Adjoining an Identity to a Reduced Archimedeanf-Ring ⋮ Minimum proper extensions in some lattices of subalgebras ⋮ Convex vector lattices and l-algebras ⋮ Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit ⋮ \(*\)-maximum lattice-ordered groups. ⋮ The category of Archimedean \(\ell\)-groups with strong unit, and some of its epireflective subcategories ⋮ On hull classes of ℓ-groups and covering classes of spaces ⋮ \(\alpha\)-Dedekind complete archimedean vector lattices versus \(\alpha\)- quasi-\(F\) spaces ⋮ Algebraic extensions of an archimedean lattice-ordered group. I ⋮ Feebly projectable \(\ell \)-groups ⋮ Epimorphic Adjunction of a Weak Order Unit to an Archimedean Lattice-Ordered Group ⋮ \(C\)-epic compactifications ⋮ The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \) ⋮ \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces. ⋮ Essential adjunction of a strong unit to an Archimedean lattice-ordered group ⋮ Weakly least integer closed groups ⋮ Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit ⋮ Functorial rings of quotients. III: The maximum in Archimedean \(f\)-rings

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