Geodesic
Sequential convergences in $\ell$-groups without Urysohn’s axiom
Czechoslovak Mathematical Journal, Tome 42 (1992) no. 1, pp. 101-116
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1992.128306
Classification : 06F15, 06F20, 54H11 
@article{10_21136_CMJ_1992_128306,
     author = {Jakub{\'\i}k, J\'an},
     title = {Sequential convergences in $\ell$-groups without {Urysohn{\textquoteright}s} axiom},
     journal = {Czechoslovak Mathematical Journal},
     pages = {101--116},
     year = {1992},
     volume = {42},
     number = {1},
     doi = {10.21136/CMJ.1992.128306},
     mrnumber = {1152174},
     zbl = {0770.06008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128306/}
}
TY  - JOUR
AU  - Jakubík, Ján
TI  - Sequential convergences in $\ell$-groups without Urysohn’s axiom
JO  - Czechoslovak Mathematical Journal
PY  - 1992
SP  - 101
EP  - 116
VL  - 42
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128306/
DO  - 10.21136/CMJ.1992.128306
LA  - en
ID  - 10_21136_CMJ_1992_128306
ER  - 
%0 Journal Article
%A Jakubík, Ján
%T Sequential convergences in $\ell$-groups without Urysohn’s axiom
%J Czechoslovak Mathematical Journal
%D 1992
%P 101-116
%V 42
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1992.128306/
%R 10.21136/CMJ.1992.128306
%G en
%F 10_21136_CMJ_1992_128306
Jakubík, Ján. Sequential convergences in $\ell$-groups without Urysohn’s axiom. Czechoslovak Mathematical Journal, Tome 42 (1992) no. 1, pp. 101-116. doi: 10.21136/CMJ.1992.128306

[1] P. Conrad: The structure of a lattice-ordered group with a finite number of disjoint elements. Michigan Math. J. 7 (1960), 171–180. | DOI | MR | Zbl

[2] L. Fuchs: Partially ordered algebraic systems. Pergamon Press, Oxford, 1963. | MR | Zbl

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

[4] M. Harminc: The cardinality of the system of all convergences on an abelian lattice ordered group. Czechoslov. Math. J. 37 (1987), 533–546. | MR

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

[6] M. Harminc: Convergences on lattice ordered groups. Disertation, Math. Inst. Slovac Acad. Sci., 1986. (Slovak)

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

[8] J. Jakubík: Konvexe Ketten in $\ell $-Gruppen. Časop. pěst. matem. 84 (1959), 53–63. | MR

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

[10] J. Jakubík: On some types of kernels of a convergence $\ell $-group. Czechoslov. Math. J. 39 (1989), 239–247. | MR

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

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

[13] B. Z. Vulih: Vvedenie v teoriyu poluuporyadoqennyh prostranstv. Moskva, 1961.

Cité par Sources :