Affine completeness and wreath product decompositions of lattice ordered group
Czechoslovak Mathematical Journal (2008)
- Volume: 58, Issue: 3, page 717-723
- ISSN: 0011-4642
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topJakubík, Ján. "Affine completeness and wreath product decompositions of lattice ordered group." Czechoslovak Mathematical Journal 58.3 (2008): 717-723. <http://eudml.org/doc/37863>.
@article{Jakubík2008,
abstract = {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.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice ordered group; wreath product; affine completeness; lattice-ordered group; wreath product; affine completeness},
language = {eng},
number = {3},
pages = {717-723},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Affine completeness and wreath product decompositions of lattice ordered group},
url = {http://eudml.org/doc/37863},
volume = {58},
year = {2008},
}
TY - JOUR
AU - Jakubík, Ján
TI - Affine completeness and wreath product decompositions of lattice ordered group
JO - Czechoslovak Mathematical Journal
PY - 2008
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 3
SP - 717
EP - 723
AB - 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.
LA - eng
KW - lattice ordered group; wreath product; affine completeness; lattice-ordered group; wreath product; affine completeness
UR - http://eudml.org/doc/37863
ER -
References
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- Jakubík, J., Affine completeness of complete lattice ordered groups, Czechoslovak Math. J. 45 (1995), 571-576. (1995) MR1344522
- Jakubík, J., 10.1023/B:CMAJ.0000042381.83544.a7, Czechoslovak Math. J. 54 (2004), 423-429. (2004) MR2059263DOI10.1023/B:CMAJ.0000042381.83544.a7
- Jakubík, J., 10.1007/s10587-005-0075-0, Czechoslovak Math. J. 55 (2005), 917-922. (2005) MR2184372DOI10.1007/s10587-005-0075-0
- Jakubík, J., Csontóová, M., 10.1023/A:1022849823068, Czechoslovak Math. J. 48 (1998), 359-363. (1998) MR1624264DOI10.1023/A:1022849823068
- Kaarli, K., Pixley, A. F., Polynomial Completeness in Algebraic Systems, Chapman-Hall London-New York-Washington (2000). (2000) MR1888967
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