On orthogonally σ -complete lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (2002)

  • Volume: 52, Issue: 4, page 881-888
  • ISSN: 0011-4642

Abstract

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In this paper we prove a theorem of Cantor-Bernstein type for orthogonally σ -complete lattice ordered groups.

How to cite

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Jakubík, Ján. "On orthogonally $\sigma $-complete lattice ordered groups." Czechoslovak Mathematical Journal 52.4 (2002): 881-888. <http://eudml.org/doc/30752>.

@article{Jakubík2002,
abstract = {In this paper we prove a theorem of Cantor-Bernstein type for orthogonally $\sigma $-complete lattice ordered groups.},
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice ordered group; orthogonal $\sigma $-completeness; direct factor; lattice ordered group; orthogonal -completeness; direct factor},
language = {eng},
number = {4},
pages = {881-888},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On orthogonally $\sigma $-complete lattice ordered groups},
url = {http://eudml.org/doc/30752},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Jakubík, Ján
TI - On orthogonally $\sigma $-complete lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 881
EP - 888
AB - In this paper we prove a theorem of Cantor-Bernstein type for orthogonally $\sigma $-complete lattice ordered groups.
LA - eng
KW - lattice ordered group; orthogonal $\sigma $-completeness; direct factor; lattice ordered group; orthogonal -completeness; direct factor
UR - http://eudml.org/doc/30752
ER -

References

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  5. Convex isomorphisms of archimedean lattice ordered groups, Mathware Soft Comput. 5 (1998), 49–56. (1998) MR1632739
  6. A generalization of theorem of Banach and Cantor-Bernstein, Coll. Mat. 1 (1948), 140–144. (1948) MR0027264
  7. Boolean algebras, Second edition, Springer Verlag, Berlin, 1964. (1964) Zbl0123.01303MR0126393
  8. To the theory of lattice ordered groups, Czechoslovak Math.  J. 6(81) (1956), 1–25. (Russian) (1956) 
  9. A Cantor-Bernstein theorem for σ -complete M V -algebras, (Preprint). 
  10. Cardinal Algebras, Oxford University Press, New York, London, 1949. (1949) Zbl0041.34502MR0029954

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