Geodesic
Affine completeness and wreath product decompositions of lattice ordered group
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 717-723.

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Let $\Delta $ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $\Delta $ and $H$ fails to be affine complete.
Classification : 06F15
Keywords: lattice ordered group; wreath product; affine completeness 
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     author = {Jakub{\'\i}k, J\'an},
     title = {Affine completeness and wreath product decompositions of lattice ordered group},
     journal = {Czechoslovak Mathematical Journal},
     pages = {717--723},
     publisher = {mathdoc},
     volume = {58},
     number = {3},
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     zbl = {1174.06338},
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a9/}
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Jakubík, Ján. Affine completeness and wreath product decompositions of lattice ordered group. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 717-723. http://geodesic.mathdoc.fr/item/CMJ_2008__58_3_a9/