Geodesic
On the affine completeness of lattice ordered groups
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 423-429

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
In the paper it is proved that a nontrivial direct product of lattice ordered groups is never affine complete.
Classification : 06F15
Keywords: lattice ordered group; affine completeness; direct product 
Jakubík, Ján. On the affine completeness of lattice ordered groups. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 2, pp. 423-429. http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a14/
@article{CMJ_2004_54_2_a14,
     author = {Jakub{\'\i}k, J\'an},
     title = {On the affine completeness of lattice ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {423--429},
     year = {2004},
     volume = {54},
     number = {2},
     mrnumber = {2059263},
     zbl = {1080.06027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a14/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - On the affine completeness of lattice ordered groups
JO  - Czechoslovak Mathematical Journal
PY  - 2004
SP  - 423
EP  - 429
VL  - 54
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a14/
LA  - en
ID  - CMJ_2004_54_2_a14
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T On the affine completeness of lattice ordered groups
%J Czechoslovak Mathematical Journal
%D 2004
%P 423-429
%V 54
%N 2
%U http://geodesic.mathdoc.fr/item/CMJ_2004_54_2_a14/
%G en
%F CMJ_2004_54_2_a14

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

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

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