Abstract
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.
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References
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Jakubík, J. On cut completions of abelian lattice ordered groups. Czechoslovak Mathematical Journal 50, 587–602 (2000). https://doi.org/10.1023/A:1022841828655
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DOI: https://doi.org/10.1023/A:1022841828655