Affine completeness and wreath product decompositions of lattice ordered group

Ján Jakubík

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Displaying similar documents to “Affine completeness and wreath product decompositions of lattice ordered group”

Affine completness of projectable lattice ordered groups

Ján Jakubík, Mária Csontóová (1998)

Czechoslovak Mathematical Journal

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Affine completeness and lexicographic product decompositions of abelian lattice ordered groups

Ján Jakubík (2005)

Czechoslovak Mathematical Journal

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In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.

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 $G$ .