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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 
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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/

[1] L.  Fuchs: Partially Ordered Algebraic Systems. Pergamon Press, Oxford, 1963. | MR | Zbl

[2] J.  Jakubík: Affine completeness of complete lattice ordered groups. Czechoslovak Math.  J. 45 (1995), 571–576. | MR

[3] J.  Jakubík: On the affine completeness of lattice ordered groups. Czechoslovak Math.  J. 54 (2004), 423–429. | DOI | MR

[4] J.  Jakubík and M.  Csontóová: Affine completeness of projectable lattice ordered groups. Czechoslovak Math.  J. 48 (1998), 359–363. | DOI | MR

[5] K.  Kaarli and A. F.  Pixley: Polynomial Completeness in Algebraic Systems. Chapman-Hall, London-New York-Washington, 2000. | MR