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Article

Jakubík, Ján
On the affine completeness of lattice ordered groups. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 2, pp. 423-429
MSC: 06F15 | MR 2059263 | Zbl 1080.06027
Keywords:
lattice ordered group; affine completeness; direct product
Summary:
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
References:
[1] J.  Jakubík: Affine completeness of complete lattice ordered groups. Czechoslovak Math.  J. 45 (1995), 571–576. MR 1344522
[2] J.  Jakubík and M.  Csontóová: Affine completeness of projectable lattice ordered groups. Czechoslovak Math.  J. 48 (1998), 359–363. DOI 10.1023/A:1022849823068 | MR 1624264
[3] K.  Kaarli and A. F.  Pixley: Polynomial Completeness in Algebraic Systems. Chapman-Hall, London-New York-Washington, 2000. MR 1888967
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