On some completeness properties for lattice ordered groups

Ján Jakubík

Czechoslovak Mathematical Journal (1995)

  • Volume: 45, Issue: 2, page 253-266
  • ISSN: 0011-4642

How to cite

top

Jakubík, Ján. "On some completeness properties for lattice ordered groups." Czechoslovak Mathematical Journal 45.2 (1995): 253-266. <http://eudml.org/doc/31462>.

@article{Jakubík1995,
author = {Jakubík, Ján},
journal = {Czechoslovak Mathematical Journal},
keywords = {uniform completeness; abelian -groups; projectable -groups; lattice ordered groups; radical class; torsion class},
language = {eng},
number = {2},
pages = {253-266},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some completeness properties for lattice ordered groups},
url = {http://eudml.org/doc/31462},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Jakubík, Ján
TI - On some completeness properties for lattice ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 45
IS - 2
SP - 253
EP - 266
LA - eng
KW - uniform completeness; abelian -groups; projectable -groups; lattice ordered groups; radical class; torsion class
UR - http://eudml.org/doc/31462
ER -

References

top
  1. Groupes et anneaux réticulés, Lecture Notes in Mathematics 608, Springer Verlag, Berlin, 1977. (1977) MR0552653
  2. Disjoint sequences and completeness properties, Indag. Math (Proc. Netherl. Acad. Sci. A 88) 47 (1985), 11–19. (1985) Zbl0566.46004MR0783002
  3. Lattice ordered groups, Tulane University, 1970. (1970) Zbl0258.06011
  4. K -radical classes of lattice ordered groups, Algebra, Proc. Conf. Carbondale (1980), Lecture Notes in Mathematics 848, 1981, pp. 186–207. (1981) Zbl0455.06010MR0613186
  5. Closure operations on radicals of lattice ordered groups, Czechoslov. Math. J. 37 (1987), 51–64. (1987) MR0875127
  6. Partially ordered algebraic systems, Oxford, 1963. (1963) Zbl0137.02001MR0171864
  7. Varieties of ℓ -groups are torsion classes, Czechoslov. Math. J. 29 (1979), 11–12. (1979) MR0518135
  8. Radical mappings and radical classes of lattice ordered groups, Symposia Math. 31, Academic Press, New York-London, 1977, pp. 451–477. (1977) MR0491397
  9. Projectable kernel of a lattice ordered group, Universal algebra and applications, Banach Center Publ. Vol. 9, 1982, pp. 105–112. (1982) MR0738807
  10. Kernels of lattice ordered groups defined by properties of sequences, Časopis pěst. matem. 109 (1984), 290–298. (1984) MR0755595
  11. On some types of kernels of a convergence ℓ -group, Czechoslov. Math. J. 39 (1989), 239–247. (1989) MR0992131
  12. Closure operators on the lattice of radical classes of lattice ordered groups, Czechoslov. Math. J. 38 (1988), 71–77. (1988) MR0925941
  13. On a radical class of lattice ordered groups, Czechoslov. Math. J. 39 (1989), 641–643. (1989) MR1017999
  14. Riesz spaces, Volume I, Amsterdam-London, 1971. (1971) MR0511676
  15. Torsion theory for lattice groups, Czechoslov. Math. J. 25 (1975), 284–292. (1975) MR0389705
  16. On the lattice of radicals of a finitely generated ℓ -group, Math. Slovaca 33 (1983), 185–188. (Russian) (1983) MR0699088
  17. Boolean algebras, Second edition, Berlin, 1964. (1964) MR0177920

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.