Affine completeness and lexicographic product decompositions of abelian lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (2005)

  • Volume: 55, Issue: 4, page 917-922
  • ISSN: 0011-4642

Abstract

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In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.

How to cite

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Jakubík, Ján. "Affine completeness and lexicographic product decompositions of abelian lattice ordered groups." Czechoslovak Mathematical Journal 55.4 (2005): 917-922. <http://eudml.org/doc/30998>.

@article{Jakubík2005,
abstract = {In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {Abelian lattice ordered group; lexicographic product decomposition; affine completeness; abelian lattice-ordered group; lexicographic product decomposition; affine completeness},
language = {eng},
number = {4},
pages = {917-922},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Affine completeness and lexicographic product decompositions of abelian lattice ordered groups},
url = {http://eudml.org/doc/30998},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Jakubík, Ján
TI - Affine completeness and lexicographic product decompositions of abelian lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 55
IS - 4
SP - 917
EP - 922
AB - In this paper it is proved that an abelian lattice ordered group which can be expressed as a nontrivial lexicographic product is never affine complete.
LA - eng
KW - Abelian lattice ordered group; lexicographic product decomposition; affine completeness; abelian lattice-ordered group; lexicographic product decomposition; affine completeness
UR - http://eudml.org/doc/30998
ER -

References

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  1. Partially Ordered Algebraic Systems, Pergamon Press, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  2. Affine completeness of complete lattice ordered groups, Czechoslovak Math.  J. 45 (1995), 571–576. (1995) MR1344522
  3. 10.1023/B:CMAJ.0000042381.83544.a7, Czechoslovak Math.  J. 54 (2004), 423–429. (2004) MR2059263DOI10.1023/B:CMAJ.0000042381.83544.a7
  4. 10.1023/A:1022849823068, Czechoslovak Math.  J. 48 (1998), 359–363. (1998) MR1624264DOI10.1023/A:1022849823068
  5. Polynomial Completeness in Algebraic Systems, Chapman-Hall, London-New York-Washington, 2000. (2000) MR1888967

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