| Title:
|
Strongly projectable lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
26 |
| Issue:
|
4 |
| Year:
|
1976 |
| Pages:
|
642-652 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A55 |
| idZBL:
|
Zbl 0365.06008 |
| idMR:
|
MR0429690 |
| DOI:
|
10.21136/CMJ.1976.101436 |
| . |
| Date available:
|
2008-06-09T14:21:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101436 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.third edition, Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] S. J. Bernau: Unique representation of archimedean lattice groups and normal archimedean lattice rings.Proc. London Math. Soc. 15 (1965), 599 - 631. MR 0182661 |
| Reference:
|
[3] P. Conrad: Lattice ordered groups.Tulane University 1970. Zbl 0258.06011 |
| Reference:
|
[4] P. Conrad: The hulls of representable $l$-groups and $f$-rings.J. Austral. Math. Soc. 16 (1973), 385-415. Zbl 0275.06025, MR 0344173, 10.1017/S1446788700015391 |
| Reference:
|
[5] 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:
|
[6] L. Fuchs: Partially ordered algebraic systems.London 1963. (Частично успорядоченные алгебраические системы, Москва 1965). Zbl 0137.02001, MR 0171864 |
| Reference:
|
[7] K. Iwasava: On the structure of conditionally complete lattice groups.Japan J. Math. 18 (1943), 777-789. MR 0015117, 10.4099/jjm1924.18.0_777 |
| Reference:
|
[8] J. Jakubík: On $\sigma$-complete lattice ordered groups.Czech. Math. J. 23 (1973), 164-174. MR 0318032 |
| Reference:
|
[9] J. Jakubík: Conditionally orthogonally complete $l$-groups.Mathematische Nachrichten 65 (1975), 153-162. MR 0364050, 10.1002/mana.19750650113 |
| Reference:
|
[10] W. A. Luxemburg A. C. Zaanen: Riesz spaces, Vol. I.Amsterdam 1971. |
| Reference:
|
[11] Л. B. Канторович Б. 3. Вулих A. Г. Пинскер: Финкциональньш анализ в полуупорядоченных пространствах.Москва 1950. Zbl 1202.91122 |
| Reference:
|
[12] R. Sikorski: Boolean algebras.Berlin 1964. Zbl 0123.01303, MR 0177920 |
| Reference:
|
[13] A. И. Векслер: Понятие линейной в себе линейной структуры и некоторые приложения етого понятия в теории линейных и линейных нормированных структур.Изв. вые. уч. завед., Матем., 1966, 13-22. Zbl 1155.78304 |
| Reference:
|
[14] А. И. Векслер В. А. Гейлер: О порядковой и дизъюнктной полноте линейных полуупорядоченных пространств.Сибир. мат, ж. 13 (1972), 43-51. Zbl 1225.01023 |
| . |
