Geodesic
On cut completions of abelian lattice ordered groups
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 3, pp. 587-602 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $G$.
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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     title = {On cut completions of abelian lattice ordered groups},
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     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/

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