| Title:
|
The $\alpha $-completion of a lattice ordered group (English) |
| Author:
|
Ball, Rick |
| Author:
|
Davis, Gary |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
33 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
111-118 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0517.06014 |
| idMR:
|
MR687423 |
| DOI:
|
10.21136/CMJ.1983.101861 |
| . |
| Date available:
|
2008-06-09T14:53:06Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101861 |
| . |
| Reference:
|
[1] R. Ball: Convergence and Cauchy structures on lattice ordered groups.Trans. Amer. Math. Soc. 259 (1980), 357-392. Zbl 0441.06015, 10.1090/S0002-9947-1980-0567085-5 |
| Reference:
|
[2] R. Ball: Topological lattice ordered groups.Pacific. J. Math. 83 (1979), 1 - 26. Zbl 0434.06016, 10.2140/pjm.1979.83.1 |
| Reference:
|
[3] R. Ball: The distinguished completion of a lattice ordered group.Proceedings of the Carbondale Algebra Conference, Springer, to appear. Zbl 0468.06008, MR 0613187 |
| Reference:
|
[4] R. D. Byrd, J. T. Lloyd: Closed subgroups and complete distributivity in lattice ordered groups.Math. Zeitsch. 101 (1967), 123-130. Zbl 0178.02902, 10.1007/BF01136029 |
| Reference:
|
[5] J. Ellis: Group topological convergence in completely distributive lattice ordered groups.thesis, Tulane University, 1968. |
| Reference:
|
[6] R. L. Madell: Complete distributivity and $\alpha$-convergence.unpublished, Village Community School, 272 West Tenth Street, N.Y., N.Y. 10014, U.S.A. Zbl 0466.06017 |
| Reference:
|
[7] F. Papangelou: Some considerations on convergence in abelian lattice groups.Pacific J. Math. 15 (1965), 1347-1364. Zbl 0146.04802, MR 0190242, 10.2140/pjm.1965.15.1347 |
| . |
