Distinguished completion of a direct product of lattice ordered groups

Ján Jakubík

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Displaying similar documents to “Distinguished completion of a direct product of lattice ordered 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 $G$ .

Affine completeness and wreath product decompositions of lattice ordered group

Ján Jakubík (2008)

Czechoslovak Mathematical Journal

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Let $Δ$ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $Δ$ and $H$ fails to be affine complete.

Lateral completion of a projectable lattice ordered group

Ján Jakubík (2000)

Czechoslovak Mathematical Journal

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