Some examples of hyperarchimedean lattice-ordered groups

Anthony W. Hager; Chawne M. Kimber

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Displaying similar documents to “Some examples of hyperarchimedean lattice-ordered groups”

Lattice ordered groups of finite breadth

J. Jakubík (1973)

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Lateral completion of a projectable lattice ordered group

Ján Jakubík (2000)

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Convex isomorphisms of Archimedean lattice ordered groups.

Ján Jakubík (1998)

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This paper contains a result of Cantor-Bernstein type concerning archimedean lattice ordered groups.

A characterisation of lattice-ordered abelian groups.

George A. Elliott, Daniele Mundici (1993)

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On cut completions of abelian lattice ordered groups

Ján Jakubík (2000)

Czechoslovak Mathematical Journal

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We denote by $F_{a}$ the class of all abelian lattice ordered groups $H$ such that each disjoint subset of $H$ is finite. In this paper we prove that if $G \in F_{a}$ , then the cut completion of $G$ coincides with the Dedekind completion of $G$ .