| Title:
|
Torsion classes and subdirect products of Carathéodory vector lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
56 |
| Issue:
|
1 |
| Year:
|
2006 |
| Pages:
|
79-92 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| MSC:
|
46A40 |
| idZBL:
|
Zbl 1164.06330 |
| idMR:
|
MR2217581 |
| . |
| Date available:
|
2009-09-25T14:30:08Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129553 |
| . |
| Reference:
|
[1] BIRKHOFF G.: Lattice Theory.(Зrd ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] CONRAD P.: Lattice Ordered Groups.Tulane Universitу, Math. Res. Librarу, New Orleans, 1970. Zbl 0258.06011 |
| Reference:
|
[3] CONRAD P.: Torsion radicals of lattice-ordered groups.Sуmpos. Math. 21 (1977), 479-513. Zbl 0372.06011, MR 0465969 |
| Reference:
|
[4] CONRAD P.-DARNEL M. R.: Subgroups and hulls of Specker lattice-ordered groups.Czechoslovak Math. J. (To appear). Zbl 0978.06011, MR 1844319 |
| Reference:
|
[5] GOFMAN C.: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions.Trans. Amer. Math. Soc 88 (1958), 107-120. MR 0097331 |
| Reference:
|
[6] JAKUBÍK J.: Cardinal properties of lattice ordered groups.Fund. Math. 74 (1972), 85-98. Zbl 0259.06015, MR 0302528 |
| Reference:
|
[7] JAKUBÍK J.: Prime selectors and torsion classes of lattice ordered groups.Czechoslovak Math. J. 31 (1981), 325-337. Zbl 0473.06012, MR 0611086 |
| 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 vector lattices of elementary Carathéodory functions.Czechoslovak Math. J. 55 (2005), 223-236. Zbl 1081.06021, MR 2121669 |
| Reference:
|
[10] JAKUBÍK J.: On Carathéodory vector lattices.Math. Slovaca 53 (2003), 479-503. Zbl 1071.06009, MR 2038515 |
| Reference:
|
[11] MARTINEZ J.: Torsion theory for lattice ordered groups.Czechoslovak Math. J. 25 (1975), 284-299. Zbl 0321.06020, MR 0389705 |
| Reference:
|
[12] MARTINEZ J.: Torsion theory for lattice ordered groups II.Czechoslovak Math. J. 26 (1976), 93-100. Zbl 0331.06009, MR 0389706 |
| Reference:
|
[13] ŠIK F.: Über subdirekte Summen geordneter Gruppen.Czechoslovak Math. J. 10 (I960), 400-424. Zbl 0102.26501, MR 0123626 |
| . |
