Title:
|
Principal convergences on lattice ordered groups (English) |
Author:
|
Jakubík, Ján |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
46 |
Issue:
|
4 |
Year:
|
1996 |
Pages:
|
721-732 |
. |
Category:
|
math |
. |
MSC:
|
06F15 |
MSC:
|
06F20 |
idZBL:
|
Zbl 0879.06012 |
idMR:
|
MR1414604 |
DOI:
|
10.21136/CMJ.1996.127329 |
. |
Date available:
|
2009-09-24T10:01:22Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127329 |
. |
Reference:
|
[1] M. Harminc: Sequential convergences on abelian lattice-ordered groups.Convergence structures, 1984, Mathematical Research, Band 24, Akademie Verlag, Berlin, 1985, pp. 153–158. Zbl 0581.06009, MR 0835480 |
Reference:
|
[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 0913986 |
Reference:
|
[3] M. Harminc: Sequential convergences on lattice ordered groups.Czechoslov. Math. J. 39 (1989), 232–238. MR 0992130 |
Reference:
|
[4] M. Harminc, J. Jakubík: Maximal convergences and minimal proper convergences in $\ell $-groups.Czechoslov. Math. J. 39 (1989), 631–640. MR 1017998 |
Reference:
|
[5] J. Hashimoto: On direct product decompositions of partially ordered sets.Ann. of Math 34 (1951), 315–318. MR 0043067, 10.2307/1969532 |
Reference:
|
[6] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38 (1988), 269–272. MR 0977905 |
Reference:
|
[7] J. Jakubík: Lattice ordered groups having a largest convergence.Czechoslov. Math. J. 39 (1989), 717–729. MR 1018008 |
Reference:
|
[8] J. Jakubík: Convergences and higher degrees of distributivity in lattice ordered groups and Boolean algebras.Czechoslov. Math. J. 40 (1990), 453–458. MR 1065024 |
Reference:
|
[9] J. Jakubík: Sequential convergences on free lattice ordered groups.Math. Bohemica 117 (1992), 48–54. MR 1154054 |
. |