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.
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
Keywords: Abelian lattice ordered group; lexicographic product decomposition; affine completeness
@article{CMJ_2005_55_4_a7,
author = {Jakub{\'\i}k, J\'an},
title = {Affine completeness and lexicographic product decompositions of abelian lattice ordered groups},
journal = {Czechoslovak Mathematical Journal},
pages = {917--922},
year = {2005},
volume = {55},
number = {4},
mrnumber = {2184372},
zbl = {1081.06022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2005_55_4_a7/}
}
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/