| Title:
|
Complete distributivity and $\alpha $-convergence (English) |
| Author:
|
Madell, Robert L. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
30 |
| Issue:
|
2 |
| Year:
|
1980 |
| Pages:
|
296-301 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
54H12 |
| idZBL:
|
Zbl 0466.06017 |
| idMR:
|
MR566053 |
| DOI:
|
10.21136/CMJ.1980.101678 |
| . |
| Date available:
|
2008-06-09T14:39:12Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101678 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.(third edition), Amer. Math. Soc., Providence, Rhode Island, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] R. D. Byrd: Complete distributivity in lattice-ordered groups.Рас. J. Math. 20 (1967), 423-432. Zbl 0178.02902, MR 0207866 |
| Reference:
|
[3] R. D. Byrd, J. T. Lloyd: Closed subgroups and complete distibrutivity in lattice-ordered groups.Math. Zeitschr. 101 (1967), 123-130. MR 0218284, 10.1007/BF01136029 |
| Reference:
|
[4] J. Ellis: .Unpublished doctoral dissertation, Tulane University, New Orleans, Louisiana, 1968. Zbl 0205.29101 |
| Reference:
|
[5] J. Flachsmeyer: On Dini convergence in function spaces.DAN SSSR. 152 (1963), 1071-74. MR 0155286 |
| Reference:
|
[6] E. E. Floyd: Boolean algebras with pathological order properties.Рас. J. Math. 5 (1965), 687-689. MR 0073563 |
| Reference:
|
[7] L. Fuchs: Partially Ordered Algebraic Systems.Pergamon Press (Addison-Wesley), New York, 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[8] J. Jakubík: The interval topology of an $l$-group.Colloq. Math. XI (1963), 65-72. MR 0160831, 10.4064/cm-11-1-65-72 |
| Reference:
|
[9] J. L. Kelly: General Topology.Van Nostrand Press, Princeton, 1955. MR 0070144 |
| Reference:
|
[10] R. L. Madell: Embeddings of topological lattice ordered groups.Trans. Amer. Math. Soc. 146 (1969), 447-455. Zbl 0192.36203, MR 0250952, 10.1090/S0002-9947-1969-0250952-5 |
| Reference:
|
[11] F. Papangelou: Order convergence and topological completion of commutative lattice groups.Math. Annalen 155 (1964), 81-107. Zbl 0131.02601, MR 0174498, 10.1007/BF01344076 |
| Reference:
|
[12] F. Papangelou: Some considerations on convergence in abelian lattice groups.Pacific J. Math. 15 (1965), 1347-65. Zbl 0146.04802, MR 0190242, 10.2140/pjm.1965.15.1347 |
| . |
