Algebraic extensions of an archimedean lattice-ordered group. II

DOI10.1016/S0022-4049(99)00018-3zbMath0952.06023OpenAlexW4210773925MaRDI QIDQ1295769

Richard N. Ball, Anthony W. Hager

Publication date: 14 March 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(99)00018-3

zbMATH Keywords

algebraically closedalgebraic extensionscategory Arch of Archimedean \(\ell\)-groups, with \(\ell\)-homomorphisms

Mathematics Subject Classification ID

Ordered groups (06F15)

Related Items (8)

Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence ⋮ Maximum monoreflections ⋮ Functional completions of Archimedean vector lattices ⋮ The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale ⋮ Weak relatively uniform convergences on MV-algebras ⋮ The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \) ⋮ Weak relatively uniform convergences on abelian lattice ordered groups ⋮ Functorial approximation to the lateral completion in archimedean lattice-ordered groups with weak unit

Cites Work

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• On the localic Yosida representation of an archimedean lattice ordered group with weak order unit
• Majorizing-injectivity in Abelian lattice-ordered groups
• Algebraic extensions of an archimedean lattice-ordered group. I
• Pushout-invariant extensions and monoreflections
• Epimorphic Adjunction of a Weak Order Unit to an Archimedean Lattice-Ordered Group

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