On Carathéodory vector lattices

Ján Jakubík

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 5, page 479-503
  • ISSN: 0139-9918

How to cite

top

Jakubík, Ján. "On Carathéodory vector lattices." Mathematica Slovaca 53.5 (2003): 479-503. <http://eudml.org/doc/31611>.

@article{Jakubík2003,
author = {Jakubík, Ján},
journal = {Mathematica Slovaca},
keywords = {elementary Carathéodory function; vector lattice; generalized Boolean algebra; Specker lattice ordered group; direct product decomposition},
language = {eng},
number = {5},
pages = {479-503},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On Carathéodory vector lattices},
url = {http://eudml.org/doc/31611},
volume = {53},
year = {2003},
}

TY - JOUR
AU - Jakubík, Ján
TI - On Carathéodory vector lattices
JO - Mathematica Slovaca
PY - 2003
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 53
IS - 5
SP - 479
EP - 503
LA - eng
KW - elementary Carathéodory function; vector lattice; generalized Boolean algebra; Specker lattice ordered group; direct product decomposition
UR - http://eudml.org/doc/31611
ER -

References

top
  1. BIRKHOFF G., Lattice Theory, (3rd ed.), Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. (1967) Zbl0153.02501MR0227053
  2. CONRAD P. F.-DARNEL M. R., Subgroups and hulls of Specker lattice-ordered groups, Czechoslovak Math. J. (To appear). Zbl0978.06011MR1844319
  3. CONRAD P. F.-MARTINEZ J., Signatures and S-discrete lattice ordered groups, Algebra Universalis 29 (1992), 521-545. (1992) Zbl0767.06015MR1201177
  4. GOFMAN C., Remarks on lattice ordered groups and vector lattices. I. Caratheodory functions, Trans. Amer. Math. Soc. 88 (1958), 107-120. (1958) MR0097331
  5. JAKUBÍK J., Cardinal properties of lattice ordered groups, Fund. Math. 74 (1972), 85-98. (1972) Zbl0259.06015MR0302528
  6. JAKUBÍK J., Direct product decompositions of MV -algebras, Czechoslovak Math. J. 44 (1994), 725-739. (1994) MR1295146
  7. JAKUBÍK J., Sequential convergences on generalized Boolean algebras, Math. Bohemica 127 (2002), 1-14. Zbl0999.06013MR1895241
  8. JAKUBÍK J., Torsion classes of Specker lattice ordered groups, Czechoslovak Math. J. 52 (2002), 469-482. Zbl1012.06018MR1923254
  9. JAKUBÍK J., On direct and subdirect decompositions of partially ordered sets, Math. Slovaca 52 (2002), 377-395. MR1940243
  10. JAKUBÍK J., On vector lattices of elementary Caratheodory functions, Czechoslovak Math. J. (To appear). Zbl1081.06021MR2121669
  11. LUXEMBURG W. A. J.-ZAANEN A. C., Riesz Spaces, I. North-Holland Math. Library, North-Holland Publ. Comp., Amsterdam-London, 1971. (1971) Zbl0231.46014MR0511676

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.