| Title:
|
Higher degrees of distributivity in lattices and lattice-ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
18 |
| Issue:
|
2 |
| Year:
|
1968 |
| Pages:
|
356-376 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06.50 |
| idZBL:
|
Zbl 0155.03201 |
| idMR:
|
MR0225690 |
| DOI:
|
10.21136/CMJ.1968.100836 |
| . |
| Date available:
|
2008-06-09T13:37:21Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100836 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice theory.New York, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] Л. B. Канторович Б. 3. Byлих A. Г. Пинскер: Функциональный анализ в полуупорядоченных пространствах.Москва 1950. |
| Reference:
|
[3] R. S. Pierce: Distributivity in Boolean algebras.Pacific Journ. Math. 7 (1957), 983 - 992. Zbl 0086.02803, MR 0089180, 10.2140/pjm.1957.7.983 |
| Reference:
|
[4] R. S. Pierce: Some questions about complete Boolean algebras.Lattice theory, Proceedings of Symp. In Pure Math., Vol. 2, Amer. Math. Soc., 1961. Zbl 0101.27104, MR 0138570 |
| Reference:
|
[5] G. N. Raney: A subdirect union representation for completely distributive complete lattices.Proc. Amer. Math. Soc. 4 (1953), 518-522. Zbl 0053.35201, MR 0058568, 10.1090/S0002-9939-1953-0058568-4 |
| Reference:
|
[6] D. Scott: The independence of certain distributive laws in Boolean algebras.Trans. Amer. Math. Soc. 84 (1957), 258-261. Zbl 0092.03401, MR 0086048, 10.1090/S0002-9947-1957-0086048-7 |
| Reference:
|
[7] R. Sikorski: Boolean algebras.Berlin 1964. Zbl 0123.01303, MR 0177920 |
| Reference:
|
[8] F. Šik: Über Summen einfach geordneter Gruppen.Czechoslov. Math. J. 8 (1958), 22-53. MR 0099370 |
| Reference:
|
[9] E. С Weinberg: Higher degrees of distributivity in lattices of continuous functions.Trans. Amer. Math. Soc. 104 (1962), 334-346. Zbl 0105.09401, MR 0138569, 10.1090/S0002-9947-1962-0138569-8 |
| Reference:
|
[10] E. С. Weinberg: Completely distributive lattice-ordered groups.Pacif. J. Math. 12 (1962), 1131-1148. Zbl 0111.24301, MR 0147549, 10.2140/pjm.1962.12.1131 |
| . |
