Geodesic
Distinguished completion of a direct product of lattice ordered groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 661-671

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The distinguished completion $E(G)$ of a lattice ordered group $G$ was investigated by Ball [1], [2], [3]. An analogous notion for $MV$-algebras was dealt with by the author [7]. In the present paper we prove that if a lattice ordered group $G$ is a direct product of lattice ordered groups $G_i$ $(i\in I)$, then $E(G)$ is a direct product of the lattice ordered groups $E(G_i)$. From this we obtain a generalization of a result of Ball [3].
Classification : 06F15
Keywords: lattice ordered group; distinguished completion; direct product 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Distinguished completion of a direct product of lattice ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {661--671},
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     volume = {51},
     number = {3},
     year = {2001},
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     zbl = {1079.06505},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a15/}
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Jakubík, Ján. Distinguished completion of a direct product of lattice ordered groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 3, pp. 661-671. http://geodesic.mathdoc.fr/item/CMJ_2001__51_3_a15/