1. On cut completions of abelian lattice ordered groups Creator: Jakubík, Ján Format: bez média and svazek Type: model:article and TEXT Subject: abelian lattice ordered group, disjoint subset, cut completion, and Dedekind completion Language: English Description: 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 $G$. Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public