| Title:
|
Sequential convergences in distributive lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
245-254 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate the system Conv $L$ of all sequential convergences on a distributive lattice $L$. (English) |
| Keyword:
|
sequential convergence |
| Keyword:
|
distributive lattice |
| Keyword:
|
lattice |
| MSC:
|
06B30 |
| MSC:
|
06D99 |
| MSC:
|
22A26 |
| idZBL:
|
Zbl 0818.06009 |
| idMR:
|
MR1305528 |
| DOI:
|
10.21136/MB.1994.126166 |
| . |
| Date available:
|
2009-09-24T21:05:42Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126166 |
| . |
| Reference:
|
[1] R. Ball: Distributive Cauchy lattices.Algebra Universalis 18 (1984), 134-174. Zbl 0539.06008, MR 0743464, 10.1007/BF01198525 |
| Reference:
|
[2] R. Ball G. Davis: The $\alpha$-completion of a lattice ordered group.Czechoslovak Math. J. 33 (1983), 111-118. MR 0687423 |
| Reference:
|
[3] D. Dikranjan R. Frič F. Zanolin: On convergence groups with dense coarse subgroups.Czechoslovak Math. J. 37 (1987), 471-479. MR 0904771 |
| Reference:
|
[4] D. Doitchinov: Produits de groupes topologiques min imaux.Bull. Sci. Math. 97 (1972), 59-64. |
| Reference:
|
[5] R. Frič: Products of coarse convergence groups.Czechoslovak Math. J. 38 (1988), 285-290. MR 0946298 |
| Reference:
|
[6] M. Harminc J. Jakubík: Maximal convergences and minimal propeг convergences in l-groups.Czechoslovak Math. J. 39 (1989), 631-640. MR 1017998 |
| Reference:
|
[7] J. Jakubík: Convergences and higher degгees of distributivity in lattice ordered groups and in Boolean algebras.Czechoslovak Math. Ј. 40 (1990), 453-458. MR 1065024 |
| Reference:
|
[8] J. Jakubík: Sequential conveгgences in lattices.Math. Bohemica 117 (1992), 239-250. MR 1184537 |
| Reference:
|
[9] P: Mikusiński: Рroblems posed at the conference.Proc. Conf. on Convergence, Szczyrk 1979; Katowice 1980, 110-112. MR 0639325 |
| Reference:
|
[10] E. Pap: Funkcionalna analiza, nizovne konvergenciji, neki principi funkcionalne analize.Novi Sad, 1982. MR 0683763 |
| . |
