| Title:
|
Topology on regulators of lattice ordered groups. I. Topology induced by an $l$-group (English) |
| Author:
|
Šik, František |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1981 |
| Pages:
|
417-428 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06B10 |
| MSC:
|
06F15 |
| idZBL:
|
Zbl 0486.06006 |
| idMR:
|
MR637969 |
| . |
| Date available:
|
2009-09-25T09:17:06Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136278 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/132289 |
| . |
| Reference:
|
[1] BERNAU S. J.: Topologies on structure spaces of lattice ordered groups.Pacific J, Math, 12, 1972, 557-568. MR 0316341 |
| Reference:
|
[2] BIGARD A., KEIMEL K., WOLFENSTEIN S.: Groupes et Anneaux Réticulés.Berlin 1977. Zbl 0384.06022, MR 0552653 |
| Reference:
|
[3] BIRKHOFF G.: Lattice Theory.3rd ed., New York 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[4] CONRAD P.: Lattice ordered groups.The Tulane University. Lecture Notes. 1970. Zbl 0258.06011 |
| Reference:
|
[5] FIALA F.: Über einen gewissen Ultraantifilterraum.Math. Nachr. 33, 1967, 231-249. Zbl 0145.03602, MR 0216993 |
| Reference:
|
[6] FIALA F.: Standard-Ultraantifilter im Verband aller Komponenten einer l-Gruppe.Acta Math. Sci. Hung. 19, 1968, 405-412. Zbl 0172.03701, MR 0236081 |
| Reference:
|
[7] GILLMAN L., JERISON M.: Rings of continuous functions.New York 1960. Zbl 0093.30001, MR 0116199 |
| Reference:
|
[8] JAKUBlK J.: К теории частично упорядоченных групп..Čas. pěst. mat. 86, 1961, 318-329. |
| Reference:
|
[9] JOHNSON D. G., KIST J. E.: Prime ideals in vector lattices.Canad. J. Math. 14, 1962, 517-528. Zbl 0103.33003, MR 0138566 |
| Reference:
|
[10] RIBENBOIM P.: Un théorème de realisation de groupes réticulés.Pacif. J. Math. 10, 1960, 305-309. Zbl 0104.02602, MR 0110756 |
| Reference:
|
[11] SPEED T. P.: Minimal prime ideals I, II.I. Bull. Soc. Roy. Sci. Liege 38,1969, 610-628; II. J. Austral. Math. Soc. 18, 1974, 54-72. |
| Reference:
|
[12] ŠIK F.: Compacidad de ciertos espacios de ultraantifiltros.Memorias Fac. Cie. Univ. Habana, Vol. 1, No. 1, Ser. mat. Fasc. 1, 1963, 19-25. MR 0179112 |
| Reference:
|
[13] ŠIK F.: Struktur und Realisierungen von Verbandsgruppen I-V.I. Memorias Fac. Cie. Univ. Habana, Vol. 1, No. 3, Ser. mat. Fasc. 2, 3, 1964, 1-11; II. ibidem 11-29; III. ibidem No. 4, Fasc. 4, 5, 1966, 1-20; IV. ibidem No. 7, 1968, 19-44; V. Math. Nachr. 33, 1967, 221-229 (I, II Spanish, III-V German). |
| Reference:
|
[14] ŠIK F.: Verbandsgruppen deren Komponentenverband kompakt erzeugt ist.Arch. Math. (Brno) 7, 1971, 101-121. Zbl 0235.06007, MR 0311539 |
| . |
