| Title:
|
Splitting property of lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
2 |
| Year:
|
1974 |
| Pages:
|
257-269 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A55 |
| idZBL:
|
Zbl 0327.06013 |
| idMR:
|
MR0349523 |
| DOI:
|
10.21136/CMJ.1974.101238 |
| . |
| Date available:
|
2008-06-09T14:06:47Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101238 |
| . |
| Reference:
|
[1] S. J. Bernau: Orthocompletion in lattice groups.Proc. London Math. Soc, 16 (1966), 444-480. |
| Reference:
|
[2] G. Birkhoff: Lattice theory.third edition. Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[3] P. Conrad: The essential closure of an archimedean lattice-ordered group.Duke Math. J. 38 (1971), 151-160. Zbl 0216.03104, MR 0277457 |
| Reference:
|
[4] P. Conrad D. McAllister: The completion of a lattice ordered group.J. Austral. Math. Soc. 9 (1969), 182-208. MR 0249340, 10.1017/S1446788700005760 |
| Reference:
|
[5] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519 |
| Reference:
|
[6] J. Jakubík: Centrum nekonečne distributivnych zväzov.Matem. fyz. čas. 7 (1957), 116- 120. MR 0099942 |
| Reference:
|
[7] J. Jakubík: Konvexe Ketten in l-Gruppen.Časop. pěst. mat. 84 (1959), 53 - 63. MR 0104740 |
| Reference:
|
[8] Я. Якубик: Представления и расширения l-групп.Чех. мат. ж. 13 (1963), 267-283. Zbl 0288.60070, MR 0171865 |
| Reference:
|
[9] J. Jakubik: On $\sigma $-complete lattice ordered groups.Czech. Math. J. 23 (1973), 164-174. Zbl 0278.06016, MR 0318032 |
| Reference:
|
[10] J. Jakubík: Conditionally $\alpha $-complete sublattices of a distributive lattice.Alg. univ. 2 (1972), 9-15. MR 0325481, 10.1007/BF02945035 |
| Reference:
|
[11] G. Jameson: Ordered linear spaces.Lecture Notes 141, Springer Verlag, Berlin 1970. Zbl 0196.13401, MR 0438077 |
| Reference:
|
[12] Ф. Шик: К теории структурно упорядоченных групп.Чех. мат. ж. 6 (1956), 1 - 25. Zbl 0995.90522 |
| Reference:
|
[13] А. Й. Векслер В. А. Гейлер: О порядковой и дизъюнктной полноте линейных полуупорядоченных пространств.Сибир. мат. ж. 13 (1972), 43-51. Zbl 1225.01023, MR 0296654 |
| . |
