| Title:
|
Convergence $l$-groups with zero radical (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
1 |
| Year:
|
1997 |
| Pages:
|
63-73 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate abelian convergence $\ell$-groups with zero radical such that each bounded sequence has a convergent subsequence. (English) |
| Keyword:
|
completely subdirect product |
| Keyword:
|
convergence $\ell$-group |
| Keyword:
|
$b$-sequential compactness |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| MSC:
|
20F60 |
| MSC:
|
22C05 |
| idZBL:
|
Zbl 0890.06011 |
| idMR:
|
MR1446400 |
| DOI:
|
10.21136/MB.1997.126180 |
| . |
| Date available:
|
2009-09-24T21:22:52Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126180 |
| . |
| Reference:
|
[1] P. Conrad: Lateral completion of lattice ordered groups.Proc. London Math. Soc. 19 (1969), 444-480. MR 0244125, 10.1112/plms/s3-19.3.444 |
| Reference:
|
[2] P. Conrad: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[3] D. N. Dikranjan: Convergence groups: sequential compactness and generalizations.Rendinconti 1st. Math. Trieste 25 (1993), 141-173. Zbl 0846.54033, MR 1346320 |
| Reference:
|
[4] M. Harminc: Sequential convergences on abelian lattice ordered groups.Convergence Structures, Proc. Conf. Bechyne 1984, Math. Research 24 (1984), 153-158. MR 0835480 |
| Reference:
|
[5] M. Harminc J. Jakubík: Maximal convergences and minimal proper convergences in l-groups.Czechoslovak Math. J. 39 (1989), 631-640. MR 1017998 |
| Reference:
|
[6] J. Jakubík: Sequential convergences in l-groups without Urysohn's axiom.Czechoslovak Math. J. 42 (1992), 101-116. Zbl 0770.06008, MR 1152174 |
| Reference:
|
[7] F. Šik: Über subdirekte Summen geordneter Gruppen.Czechoslovak Math. J. 10 (1960), 400-424. MR 0123626 |
| . |
