Weak units in epicompletions of Archimedean lattice-ordered groups

DOI10.1216/rmjm/1021477354zbMath0979.06011OpenAlexW1996502591MaRDI QIDQ5940622

Ann Kizanis

Publication date: 12 August 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-4/CONT30-4/CONT30-4.html

zbMATH Keywords

category of archimedean lattice-ordered groups with \(l\)-homomorphismscoessential embeddingepicompletionweak unit

Mathematics Subject Classification ID

Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (3)

Epimorphic Adjunction of a Weak Order Unit to an Archimedean Lattice-Ordered Group ⋮ A theorem and a question about epicomplete Archimedean lattice-ordered groups ⋮ Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit

Cites Work

• Epicomplete l-groups
• Groupes et anneaux reticules
• \(\alpha \)-cut-complete Boolean algebras
• Archimedean quotient Riesz spaces
• Epicomplete Archimedean l-Groups and Vector Lattices
• Ideal Theory in f-Algebras
• Epimorphic Adjunction of a Weak Order Unit to an Archimedean Lattice-Ordered Group
• Inextensible Riesz spaces
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