Geodesic
On cut completions of abelian lattice ordered groups
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 587-602.

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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 $G$.
Classification : 06F15, 06F20
Keywords: abelian lattice ordered group; disjoint subset; cut completion; Dedekind completion 
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     author = {Jakub{\'\i}k, J\'an},
     title = {On cut completions of abelian lattice ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {587--602},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2000},
     mrnumber = {1777479},
     zbl = {1079.06507},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_3_a11/}
}
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Jakubík, Ján. On cut completions of abelian lattice ordered groups. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 587-602. http://geodesic.mathdoc.fr/item/CMJ_2000__50_3_a11/