Displaying similar documents to “Maximal Dedekind completion of a half lattice ordered group”

Isomorphisms of direct products of lattice-ordered groups

Ján Jakubík (2004)

Discussiones Mathematicae - General Algebra and Applications

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In this paper we investigate sufficient conditions for the validity of certain implications concerning direct products 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 ∈ F a , then the cut completion of G coincides with the Dedekind completion of G .