| Title:
|
Maximal Dedekind completion of an abelian lattice-ordered group (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
611-631 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0432.06012 |
| idMR:
|
MR506435 |
| DOI:
|
10.21136/CMJ.1978.101563 |
| . |
| Date available:
|
2008-06-09T14:30:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101563 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.third edition. Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] P. Conrad: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
| Reference:
|
[3] P. Conrad: Some structure theorems for lattice ordered groups.Trans. Amer. Math. Soc. 99 (1961), 212-240. Zbl 0099.25401, MR 0121405, 10.1090/S0002-9947-1961-0121405-2 |
| Reference:
|
[4] Š. Černák: Completely subdirect products of lattice ordered groups.Acta fac. rer. nat. Univ. Comen., Mathem., 1971, 121-128. MR 0313153 |
| Reference:
|
[5] С. J. Everett: Sequence completion of lattice moduls.Duke Math. J. 11 (1944), 109-119. Zbl 0060.06301, MR 0009592, 10.1215/S0012-7094-44-01112-9 |
| Reference:
|
[6] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519 |
| Reference:
|
[7] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia mathem. 31 (1977), 451-477. MR 0491397 |
| Reference:
|
[8] J. Jakubík: Archimedean kernel of a lattice ordered group.Czech. Math. J. 28 (1978), 140-154. MR 0463070 |
| Reference:
|
[9] J. Jakubík: Generalized Dedekind completion of a lattice ordered group.Czech. Math. J. 25 (1978), 294-311. MR 0552650 |
| Reference:
|
[10] F. Šik: Über subdirekte Summen geordneter Gruppen.Czech. Math. J. 10 (1960), 400-424. MR 0123626 |
| . |
