| Title:
|
Generalized Dedekind completion of a lattice ordered group (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1978 |
| Pages:
|
294-311 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A55 |
| MSC:
|
20F30 |
| idZBL:
|
Zbl 0391.06013 |
| idMR:
|
MR0552650 |
| DOI:
|
10.21136/CMJ.1978.101532 |
| . |
| Date available:
|
2008-06-09T14:28:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101532 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.third edition, Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] F. Conrad: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
| Reference:
|
[31 F. Conrad: Epiarchimedean lattice ordered groups.. Czech. Math. J. 24 (1974), 192-218. |
| Reference:
|
[4] F. Conrad: Changing the scalar multiplication on a vector lattice.J. Austral. Math. Soc. 20(1975), 33 - 347. Zbl 0317.06014, MR 0387153 |
| Reference:
|
[5] Л. Фукс: Частично упорядоченные алгебраические системы.Москва, 1965. Zbl 1099.01519 |
| Reference:
|
[6] J. Jakubík: Die Dedekindschen Schnitte im direkten Produkt von halbgeordneten Gruppen.Matem. fyz. casop. 16 (1966), 329-336. MR 0210638 |
| Reference:
|
[7] J. Jakubík: Distributivity in lattice ordered groups.Czech. Math. J. 22 (1972), 108-125. MR 0325487 |
| Reference:
|
[8] J. Jakubík: On $\alfa$-complete lattice ordered groups.Czech. Math. J. 23 (1973), 164-174. MR 0318032 |
| Reference:
|
[9] J. Jakubík: Conditionally a-complete sublattices of a distributive lattice.Algebra univ. 2 (1972), 255-261. MR 0325481 |
| Reference:
|
[10] J. Jakubík: Archimede kernel of a lattice ordered group.Czech. Math. J. 25 (1978), 140-154. MR 0463070 |
| Reference:
|
[11] J. Jakubík: Radical classes and radical mappings of lattice ordered groups.Symposia Math. 31 (1977), 451-477. MR 0491397 |
| Reference:
|
[12] J. Martinez: Pairwise splitting lattice ordered groups.Czech. Math. J. 27(1977), 545-551. Zbl 0378.06009, MR 0457318 |
| Reference:
|
[13] Г. Я. Роткович: О дизъюнктно полных архимедовых полуупорядоченных группах.Czech. Math. J. 27 (1977), 523-527. Zbl 1170.01341 |
| Reference:
|
[14] Б. Z. Вулих: Введение в теорию полуупорядоченных пространств.Москва 1961. Zbl 1160.68305, 10.2140/pjm.1962.12.1131 |
| Reference:
|
[15] Е. С. Weinberg: Completely distributive lattice ordered groups.Pacif. J. Math. 12 (1962), 1131-1148. Zbl 0111.24301 |
| . |
