Geodesic
Affine completeness and lexicographic product decompositions of abelian lattice ordered groups
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 917-922.

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In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.
Classification : 06F20
Keywords: Abelian lattice ordered group; lexicographic product decomposition; affine completeness 
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     title = {Affine completeness and lexicographic product decompositions of abelian lattice ordered groups},
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Jakubík, Ján. Affine completeness and lexicographic product decompositions of abelian lattice ordered groups. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 4, pp. 917-922. http://geodesic.mathdoc.fr/item/CMJ_2005__55_4_a7/