| Title:
|
Distributivity in lattice ordered groups (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
22 |
| Issue:
|
1 |
| Year:
|
1972 |
| Pages:
|
108-125 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A55 |
| idZBL:
|
Zbl 0244.06014 |
| idMR:
|
MR0325487 |
| DOI:
|
10.21136/CMJ.1972.101080 |
| . |
| Date available:
|
2008-06-09T13:55:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101080 |
| . |
| Reference:
|
[I] G. Birkhoff: Lattice theory.2nd edition, Providence, 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] R. D. Byrd: Complete distributivity in lattice ordered groups.Pacif. Journ. Math. 20 (1967), 423-432. Zbl 0178.02902, MR 0207866, 10.2140/pjm.1967.20.423 |
| Reference:
|
[3] R. D. Byrd J. T. Lloyd: Closed subgroups and complete distributivity in lattice-ordered groups.Math. Zeitschr. 101 (1967), 123-130. MR 0218284, 10.1007/BF01136029 |
| Reference:
|
[4] P. Conrad: The relationship between the radical of a lattice ordered group and complete distributivity.Pacif. Journ. Math. 14 (1964), 494-499. Zbl 0122.03701, MR 0166279, 10.2140/pjm.1964.14.493 |
| Reference:
|
[5] P. Conrad: The lattice of all convex l-subgroups of a lattice ordered group.Czechoslov. Math. J. 15 (90) (1965), 101-123. Zbl 0135.06301, MR 0173716 |
| Reference:
|
[6] P. Conrad D. McAllister: The completion of a lattice ordered group.Journal Austral. Math. Soc. 9 (1969), 182-208. MR 0249340, 10.1017/S1446788700005760 |
| Reference:
|
[7] Л. Фукс: Частично упорядоченные алгебраические системы.Москва 1965. Zbl 1099.01519 |
| Reference:
|
[8] J. Jakubík: Higher degrees of distributivity in lattices and lattice ordered groups.Czech. Math. Journ. 18 (93) (1968), 356-376. MR 0225690 |
| Reference:
|
[9] J. T. Lloyd: Complete distributivity in certain infinite permutation groups.Michigan Math. Journ. 14 (1967), 393-400. Zbl 0167.30202, MR 0219462, 10.1307/mmj/1028999839 |
| Reference:
|
[10] R. S. Pierce: Distributivity in Boolean algebras.Pacif. Journ. Math. 7 (1957), 983-992. Zbl 0086.02803, MR 0089180, 10.2140/pjm.1957.7.983 |
| Reference:
|
[11] 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:
|
[12] Ф. Шик: К теории структурно упорядоченных групп.Чехосл. мат. ж. 6 (81) (1956). 1-25. Zbl 0995.90522 |
| Reference:
|
[13] Б. 3. Byлих: Введение в теорию полуупорядоченных пространств.Москва 1961. |
| Reference:
|
[14] Е. 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:
|
[15] E. C. Weinberg: Completely distributive lattice ordered groups.Pacif. Journ. Math. 12 (1962), 1131-1148. Zbl 0111.24301, 10.2140/pjm.1962.12.1131 |
| . |
