On Carathéodory vector lattices

Ján Jakubík

Mathematica Slovaca (2003)

  • Volume: 53, Issue: 5, page 479-503
  • ISSN: 0232-0525

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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

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  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

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