Geodesic
Torsion classes and subdirect products of Carathéodory vector lattices
Mathematica slovaca, Tome 56 (2006) no. 1, pp. 79-92

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
Classification : 06F20, 46A40 
Jakubík, Ján. Torsion classes and subdirect products of Carathéodory vector lattices. Mathematica slovaca, Tome 56 (2006) no. 1, pp. 79-92. http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a6/
@article{MASLO_2006_56_1_a6,
     author = {Jakub{\'\i}k, J\'an},
     title = {Torsion classes and subdirect products of {Carath\'eodory} vector lattices},
     journal = {Mathematica slovaca},
     pages = {79--92},
     year = {2006},
     volume = {56},
     number = {1},
     mrnumber = {2217581},
     zbl = {1164.06330},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a6/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Torsion classes and subdirect products of Carathéodory vector lattices
JO  - Mathematica slovaca
PY  - 2006
SP  - 79
EP  - 92
VL  - 56
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a6/
LA  - en
ID  - MASLO_2006_56_1_a6
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Torsion classes and subdirect products of Carathéodory vector lattices
%J Mathematica slovaca
%D 2006
%P 79-92
%V 56
%N 1
%U http://geodesic.mathdoc.fr/item/MASLO_2006_56_1_a6/
%G en
%F MASLO_2006_56_1_a6

[1] BIRKHOFF G.: Lattice Theory. (Зrd ed.). Amer. Math. Soc. Colloq. Publ. 25, Amer. Math. Soc, Providence, RI, 1967. | MR | Zbl

[2] CONRAD P.: Lattice Ordered Groups. Tulane Universitу, Math. Res. Librarу, New Orleans, 1970. | Zbl

[3] CONRAD P.: Torsion radicals of lattice-ordered groups. Sуmpos. Math. 21 (1977), 479-513. | MR | Zbl

[4] CONRAD P.-DARNEL M. R.: Subgroups and hulls of Specker lattice-ordered groups. Czechoslovak Math. J. (To appear). | MR | Zbl

[5] GOFMAN C.: Remarks on lattice ordered groups and vector lattices. I. Carathéodory functions. Trans. Amer. Math. Soc 88 (1958), 107-120. | MR

[6] JAKUBÍK J.: Cardinal properties of lattice ordered groups. Fund. Math. 74 (1972), 85-98. | MR | Zbl

[7] JAKUBÍK J.: Prime selectors and torsion classes of lattice ordered groups. Czechoslovak Math. J. 31 (1981), 325-337. | MR | Zbl

[8] JAKUBÍK J.: Torsion classes of Specker lattice ordered groups. Czechoslovak Math. J. 52 (2002), 469-482. | MR | Zbl

[9] JAKUBÍK J.: On vector lattices of elementary Carathéodory functions. Czechoslovak Math. J. 55 (2005), 223-236. | MR | Zbl

[10] JAKUBÍK J.: On Carathéodory vector lattices. Math. Slovaca 53 (2003), 479-503. | MR | Zbl

[11] MARTINEZ J.: Torsion theory for lattice ordered groups. Czechoslovak Math. J. 25 (1975), 284-299. | MR | Zbl

[12] MARTINEZ J.: Torsion theory for lattice ordered groups II. Czechoslovak Math. J. 26 (1976), 93-100. | MR | Zbl

[13] ŠIK F.: Über subdirekte Summen geordneter Gruppen. Czechoslovak Math. J. 10 (I960), 400-424. | MR | Zbl