Abstract
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
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References
J. Jakubík: Affine completeness of complete lattice ordered groups. Czechoslovak Math. J. 45 (1995), 571-576.
J. Jakubík and M. Csontóová: Affine completeness of projectable lattice ordered groups. Czechoslovak Math. J. 48 (1998), 359-363.
K. Kaarli and A. F. Pixley: Polynomial Completeness in Algebraic Systems. Chapman-Hall, London-New York-Washington, 2000.
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Jakubík, J. On the Affine Completeness of Lattice Ordered Groups. Czechoslovak Mathematical Journal 54, 423–429 (2004). https://doi.org/10.1023/B:CMAJ.0000042381.83544.a7
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DOI: https://doi.org/10.1023/B:CMAJ.0000042381.83544.a7