Weak σ -distributivity of lattice ordered groups

Ján Jakubík

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 1, page 151-159
  • ISSN: 0862-7959

Abstract

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In this paper we prove that the collection of all weakly distributive lattice ordered groups is a radical class and that it fails to be a torsion class.

How to cite

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Jakubík, Ján. "Weak $\sigma $-distributivity of lattice ordered groups." Mathematica Bohemica 126.1 (2001): 151-159. <http://eudml.org/doc/248833>.

@article{Jakubík2001,
abstract = {In this paper we prove that the collection of all weakly distributive lattice ordered groups is a radical class and that it fails to be a torsion class.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {lattice ordered group; weak $\sigma $-distributivity; radical class; lattice ordered group; weak -distributivity; radical class},
language = {eng},
number = {1},
pages = {151-159},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak $\sigma $-distributivity of lattice ordered groups},
url = {http://eudml.org/doc/248833},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Jakubík, Ján
TI - Weak $\sigma $-distributivity of lattice ordered groups
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 151
EP - 159
AB - In this paper we prove that the collection of all weakly distributive lattice ordered groups is a radical class and that it fails to be a torsion class.
LA - eng
KW - lattice ordered group; weak $\sigma $-distributivity; radical class; lattice ordered group; weak -distributivity; radical class
UR - http://eudml.org/doc/248833
ER -

References

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  7. 10.1023/A:1022428713092, Czechoslovak Math. J. 49 (1999), 191–211. (1999) MR1676805DOI10.1023/A:1022428713092
  8. Torsion theory for lattice-ordered groups, Czechoslovak Math. J. 25 (1975), 284–299. (1975) Zbl0321.06020MR0389705
  9. 10.1016/0022-1236(86)90015-7, J. Functional Anal. 65 (1986), 15–53. (1986) MR0819173DOI10.1016/0022-1236(86)90015-7
  10. Integral, Measure and Ordering, Kluwer Publ., Dordrecht, 1997. (1997) MR1489521
  11. Product radical classes of ℓ -groups, Czechoslovak Math. J. 43 (1992), 129–142. (1992) MR1152176

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