| Title:
|
On Carathéodory vector lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2003 |
| Pages:
|
479-503 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06E99 |
| MSC:
|
06F20 |
| MSC:
|
46A40 |
| idZBL:
|
Zbl 1071.06009 |
| idMR:
|
MR2038515 |
| . |
| Date available:
|
2009-09-25T14:16:57Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128777 |
| . |
| Reference:
|
[1] BIRKHOFF G.: Lattice Theory.(3rd ed.), Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] CONRAD P. F.-DARNEL M. R.: Subgroups and hulls of Specker lattice-ordered groups.Czechoslovak Math. J. (To appear). Zbl 0978.06011, MR 1844319 |
| Reference:
|
[3] CONRAD P. F.-MARTINEZ J.: Signatures and S-discrete lattice ordered groups.Algebra Universalis 29 (1992), 521-545. Zbl 0767.06015, MR 1201177 |
| Reference:
|
[4] GOFMAN C.: Remarks on lattice ordered groups and vector lattices. I. Caratheodory functions.Trans. Amer. Math. Soc. 88 (1958), 107-120. MR 0097331 |
| Reference:
|
[5] JAKUBÍK J.: Cardinal properties of lattice ordered groups.Fund. Math. 74 (1972), 85-98. Zbl 0259.06015, MR 0302528 |
| Reference:
|
[6] JAKUBÍK J.: Direct product decompositions of MV -algebras.Czechoslovak Math. J. 44 (1994), 725-739. MR 1295146 |
| Reference:
|
[7] JAKUBÍK J.: Sequential convergences on generalized Boolean algebras.Math. Bohemica 127 (2002), 1-14. Zbl 0999.06013, MR 1895241 |
| Reference:
|
[8] JAKUBÍK J.: Torsion classes of Specker lattice ordered groups.Czechoslovak Math. J. 52 (2002), 469-482. Zbl 1012.06018, MR 1923254 |
| Reference:
|
[9] JAKUBÍK J.: On direct and subdirect decompositions of partially ordered sets.Math. Slovaca 52 (2002), 377-395. MR 1940243 |
| Reference:
|
[10] JAKUBÍK J.: On vector lattices of elementary Caratheodory functions.Czechoslovak Math. J. (To appear). Zbl 1081.06021, MR 2121669 |
| Reference:
|
[11] LUXEMBURG W. A. J.-ZAANEN A. C.: Riesz Spaces.I. North-Holland Math. Library, North-Holland Publ. Comp., Amsterdam-London, 1971. Zbl 0231.46014, MR 0511676 |
| . |
