| Title:
|
Sequential convergences on lattice ordered groups (English) |
| Author:
|
Harminc, Matúš |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1989 |
| Pages:
|
232-238 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0681.06007 |
| idMR:
|
MR992130 |
| DOI:
|
10.21136/CMJ.1989.102298 |
| . |
| Date available:
|
2008-06-09T15:26:39Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102298 |
| . |
| Reference:
|
[1] A. Bigard K. Keimel S. Wolfenstein: Groupes et Anneaux Réticulés.Springer-Verlag, Berlin-Heidelberg-New York 1977. MR 0552653 |
| Reference:
|
[2] G. Birkhoff: Lattice Theory.Third ed., Amer. Math. Soc., Providence 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[3] C. J. Everett S. Ulam: On ordered groups.Trans. Amer. Math. Soc. 57, 1945, 208-216. MR 0012285, 10.1090/S0002-9947-1945-0012285-5 |
| Reference:
|
[4] R. Frič V. Koutník: Sequential convergence since Kanpur conference. General Topology and its Relations to Modern Analysis and Algebra V.(Proc. Fifth Prague Topological Sympos., 1981), Berlin 1982, 193-205. MR 0698413 |
| Reference:
|
[5] R. Frič V. Koutník: Recent development in sequential convergence. Convergence Structures and Applications II.Berlin 1984, 37-46. MR 0790150 |
| Reference:
|
[6] L. Fuchs: Partially ordered algebraic systems.Pergamon Press, Oxford 1963. Zbl 0137.02001, MR 0171864 |
| Reference:
|
[7] M. Harminc: Sequential convergences on abelian lattice-ordered groups.Convergence Structures 1984 (Proc. Conf. on Convergence, Bechyně 1984). Akademie-Verlag Berlin, 1985, 153-158. MR 0835480 |
| Reference:
|
[8] M. Harminc: The cardinality of the system of all sequential convergences on an abelian lattice ordered group.Czechoslovak Math. J. 37, 1987, 533-546. MR 0913986 |
| Reference:
|
[9] M. Harminc: Convergences on lattice ordered groups.Dissertation. Math. Inst. Slovak Acad. Sci., 1986. (In Slovak.) |
| Reference:
|
[10] J. Jakubík: Convergences and complete distributivity of lattice ordered groups.Math. Slovaca 38, 1988, 269- 272. MR 0977905 |
| Reference:
|
[11] J. Novák: On convergence groups.Czechoslovak Math. J. 20, 1970, 357-374. MR 0263973 |
| Reference:
|
[12] F. Papangelou: Order convergence and topological completion of commutative latticegroups.Math. Ann. 155, 1964, 81-107. MR 0174498, 10.1007/BF01344076 |
| . |
