Epimorphic Adjunction of a Weak Order Unit to an Archimedean Lattice-Ordered Group

DOI10.2307/2159733zbMath0774.06009OpenAlexW4255239210MaRDI QIDQ4022117

Ann Kizanis, Anthony W. Hager, Richard N. Ball

Publication date: 17 January 1993

Full work available at URL: https://doi.org/10.2307/2159733

zbMATH Keywords

lattice-ordered groupweak order unitArchimedean \(\ell\)-groupepimorphic adjunction

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Weak units in epicompletions of Archimedean lattice-ordered groups ⋮ Algebraic extensions of an archimedean lattice-ordered group. II

Cites Work

• Groupes et anneaux reticules
• Complemented lattice-ordered groups
• The essential closure of an Archimedean lattice-ordered group
• Epicomplete Archimedean l-Groups and Vector Lattices
• On the Embedding into a Ring of an Archimedean ι-Group
• Weak units in epicompletions of Archimedean lattice-ordered groups
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