A characterisation of lattice-ordered abelian groups.

George A. Elliott; Daniele Mundici

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Displaying similar documents to “A characterisation of lattice-ordered abelian groups.”

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 $G$ .

On the congruence lattice of an abelian lattice ordered group

Ján Jakubík (2001)

Mathematica Bohemica

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In the present note we characterize finite lattices which are isomorphic to the congruence lattice of an abelian lattice ordered group.

Compactly Generated Lattice-Ordered Groups.

A. Bigard, P. Conrad, S. Wolfenstein (1968)

Mathematische Zeitschrift

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Weak isometries of lattice ordered groups

Ján Jakubík (1988)

Mathematica Slovaca

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On isometries of non-Abelian lattice ordered groups

Ján Jakubík (1981)

Mathematica Slovaca

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Convergences and complete distributivity of lattice ordered groups

Ján Jakubík (1988)

Mathematica Slovaca

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