Principal convergences on lattice ordered groups
Czechoslovak Mathematical Journal, Tome 46 (1996) no. 4, pp. 721-732
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1996.127329
Classification : 06F15, 06F20
@article{10_21136_CMJ_1996_127329,
     author = {Jakub{\'\i}k, J\'an},
     title = {Principal convergences on lattice ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {721--732},
     year = {1996},
     volume = {46},
     number = {4},
     doi = {10.21136/CMJ.1996.127329},
     mrnumber = {1414604},
     zbl = {0879.06012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127329/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Principal convergences on lattice ordered groups
JO  - Czechoslovak Mathematical Journal
PY  - 1996
SP  - 721
EP  - 732
VL  - 46
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127329/
DO  - 10.21136/CMJ.1996.127329
LA  - en
ID  - 10_21136_CMJ_1996_127329
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Principal convergences on lattice ordered groups
%J Czechoslovak Mathematical Journal
%D 1996
%P 721-732
%V 46
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1996.127329/
%R 10.21136/CMJ.1996.127329
%G en
%F 10_21136_CMJ_1996_127329
Jakubík, Ján. Principal convergences on lattice ordered groups. Czechoslovak Mathematical Journal, Tome 46 (1996) no. 4, pp. 721-732. doi: 10.21136/CMJ.1996.127329

[1] M. Harminc: Sequential convergences on abelian lattice-ordered groups. Convergence structures, 1984, Mathematical Research, Band 24, Akademie Verlag, Berlin, 1985, pp. 153–158. | MR | Zbl

[2] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group. Czechoslov. Math. J. 37 (1987), 553–546. | MR

[3] M. Harminc: Sequential convergences on lattice ordered groups. Czechoslov. Math. J. 39 (1989), 232–238. | MR

[4] M. Harminc, J. Jakubík: Maximal convergences and minimal proper convergences in $\ell $-groups. Czechoslov. Math. J. 39 (1989), 631–640. | MR

[5] J. Hashimoto: On direct product decompositions of partially ordered sets. Ann. of Math 34 (1951), 315–318. | DOI | MR

[6] J. Jakubík: Convergences and complete distributivity of lattice ordered groups. Math. Slovaca 38 (1988), 269–272. | MR

[7] J. Jakubík: Lattice ordered groups having a largest convergence. Czechoslov. Math. J. 39 (1989), 717–729. | MR

[8] J. Jakubík: Convergences and higher degrees of distributivity in lattice ordered groups and Boolean algebras. Czechoslov. Math. J. 40 (1990), 453–458. | MR

[9] J. Jakubík: Sequential convergences on free lattice ordered groups. Math. Bohemica 117 (1992), 48–54. | MR

Cité par Sources :