Affine completeness and wreath product decompositions of lattice ordered group
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 717-723 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Let $\Delta $ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $\Delta $ and $H$ fails to be affine complete.
Let $\Delta $ and $H$ be a nonzero abelian linearly ordered group or a nonzero abelian lattice ordered group, respectively. In this paper we prove that the wreath product of $\Delta $ and $H$ fails to be affine complete.
Classification : 06F15
Keywords: lattice ordered group; wreath product; affine completeness
@article{CMJ_2008_58_3_a9,
     author = {Jakub{\'\i}k, J\'an},
     title = {Affine completeness and wreath product decompositions of lattice ordered group},
     journal = {Czechoslovak Mathematical Journal},
     pages = {717--723},
     year = {2008},
     volume = {58},
     number = {3},
     mrnumber = {2455933},
     zbl = {1174.06338},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a9/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Affine completeness and wreath product decompositions of lattice ordered group
JO  - Czechoslovak Mathematical Journal
PY  - 2008
SP  - 717
EP  - 723
VL  - 58
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a9/
LA  - en
ID  - CMJ_2008_58_3_a9
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Affine completeness and wreath product decompositions of lattice ordered group
%J Czechoslovak Mathematical Journal
%D 2008
%P 717-723
%V 58
%N 3
%U http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a9/
%G en
%F CMJ_2008_58_3_a9
Jakubík, Ján. Affine completeness and wreath product decompositions of lattice ordered group. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 3, pp. 717-723. http://geodesic.mathdoc.fr/item/CMJ_2008_58_3_a9/

[1] Conrad, P.: Lattice Ordered Groups. Tulane University New Orleans (1970). | Zbl

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

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

[4] Jakubík, J.: Affine completeness and lexicographic product decompositions of abelian lattice ordered groups. Czechoslovak Math. J. 55 (2005), 917-922. | DOI | MR

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

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