| Title:
|
On complete lattice ordered groups with two generators. I. (English) |
| Author:
|
Jakubíková, Mária |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
28 |
| Issue:
|
4 |
| Year:
|
1978 |
| Pages:
|
389-406 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06F15 |
| MSC:
|
06F20 |
| idZBL:
|
Zbl 0402.06007 |
| idMR:
|
MR534818 |
| . |
| Date available:
|
2009-09-25T08:58:21Z |
| Last updated:
|
2012-07-31 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129092 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/130706 |
| . |
| Reference:
|
[1] BERNAU S. J.: The lateral completion of an arbitraгy lattice gгoup.J. Aust. Math. Soc., 19, 1975, 263-289. MR 0384640 |
| Reference:
|
[2] BIRKHOFF G.: Lattice theoгy.third edition, Pгovidence 1976. |
| Reference:
|
[3] CONRAD P.: Lattice ordered groups.Tulane University, 1970. Zbl 0258.06011 |
| Reference:
|
[4] CONRAD P.: The relationship between the radical of a lattice ordered group and complete distributivity.Pacif. J. Math., 14, 1964, 493-499. Zbl 0122.03701, MR 0166279 |
| Reference:
|
[5] CONRAD P.: Free abelian l-groups and vector lattices.Math. Ann., 190, 1971, 306-312. MR 0281667 |
| Reference:
|
[6] CONRAD P.: The lateral completion of a lattice ordered group.Proc London Math. Soc., 19, 1963, 444-480. MR 0244125 |
| Reference:
|
[7] ФУKC Л.: Чacтичнo yпopядoчeнныe aлгeбpaичecкиe cиcтeмы.Mocквa 1965. |
| Reference:
|
[8] HALES A. W.: On the non-existence of free complete Boolean algebras.Fundam. Math., 54, 1964, 45-66. Zbl 0119.26003, MR 0163863 |
| Reference:
|
[9] ЯKУБИK Я.: Пpeдcтaвлeниe и pacшиpeниe l-гpyпп.Czech. Math. J., 13, 1963, 267-283. |
| Reference:
|
[10] JAKUBÍK J.: Cantoг-Bernstein theorem for lattice ordered gгoups.Czech. Math. J., 22, 1972, 159-175. |
| Reference:
|
[11] JAKUBÍK J.: Orthogonal hull of a strongly projectable lattice ordeгed gгoup.Czech. Math. J. (submitted). |
| Reference:
|
[12] JAKUBÍKOVÁ M.: Über die B-Potenz einer veгbandsgeordneten Gruppe.Mat. Čas., 23, 1973, 231-239. |
| Reference:
|
[13] JAKUBÍKOVÁ M.: The nonexistence of free complete vector lattices.Čas. Pěst. Mat., 99, 1974, 142-146. Zbl 0279.06015, MR 0360404 |
| Reference:
|
[14] JAKUBÍKOVÁ M.: Totally inhomogeneous lattice ordered gгoups.Czech Math. J. (submitted). |
| Reference:
|
[15] POTKOBИЧ Г. Я.: O дизьюнктнo пoлныx пoлyyпopядoчeнныx гpyппax.Czech. Math. J. (to appear). |
| Reference:
|
[16] ШИK Ф.: K тeopии cтpyктypнo ynopядoчeнныx гpyпп.Czech. Math. J., 6, 1965, 1-25. |
| Reference:
|
[17] ŠIK F.: Über subdirekte Summen geordneter Gгuppen.Czech. Math. J., 10, 1960, 400-424. MR 0123626 |
| Reference:
|
[18] BУЛИX Б. 3.: Bвeдeниe в тeopию пoлyyпopядoчeнныx пpocтpaнcтв.Mocквa 1961. |
| Reference:
|
[19] WEINBERG E. C.: Completely distгibutive lattice ordered groups.Pacif. J. Math., 12, 1962, 1131-1137. MR 0147549 |
| Reference:
|
[20] WEINBERG E. C.: Free lattice ordered groups.Math. Ann., 151, 1963, 187-199. Received May 26, 1977. MR 0153759 |
| . |
