Some comments and examples on generation of (hyper-)Archimedean \(\ell\)-groups and \(f\)-rings

DOI10.5802/afst.1276zbMath1228.06008OpenAlexW2329451300MaRDI QIDQ1959926

Anthony W. Hager, Donald G. Johnson

Publication date: 12 October 2010

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_2010_6_19_S1_75_0

zbMATH Keywords

weak order unit\(f\)-ringsArchimedean \(\ell\)-groupshyperarchimedean \(\ell \)-groups

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered rings, algebras, modules (06F25)

Related Items (12)

Tensor products of \(f\)-algebras ⋮ Adjoining a strong unit to an Archimedean lattice-ordered group ⋮ Adjunction of a strong unit to a hyper-Archimedean lattice-ordered group ⋮ Some modifications of hull operators in Archimedean lattice-ordered groups with weak unit ⋮ Henriksen and Isbell on \(f\)-rings ⋮ \(*\)-maximum lattice-ordered groups. ⋮ Extension of the two-variable Pierce-Birkhoff conjecture to generalized polynomials ⋮ On hull classes of ℓ-groups and covering classes of spaces ⋮ Hyperarchimedean coproducts. ⋮ Some unusual epicomplete Archimedean lattice-ordered groups ⋮ \(B\)-saturated hull classes in \(\ell\)-groups and covering classes of spaces. ⋮ Essential adjunction of a strong unit to an Archimedean lattice-ordered group

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