Title:
|
The nonexistence of free complete vector lattices (English) |
Author:
|
Jakubíková, Mária |
Language:
|
English |
Journal:
|
Časopis pro pěstování matematiky |
ISSN:
|
0528-2195 |
Volume:
|
99 |
Issue:
|
2 |
Year:
|
1974 |
Pages:
|
142-146 |
. |
Category:
|
math |
. |
MSC:
|
06F20 |
idZBL:
|
Zbl 0279.06015 |
idMR:
|
MR0360404 |
DOI:
|
10.21136/CPM.1974.117836 |
. |
Date available:
|
2009-09-23T08:33:00Z |
Last updated:
|
2020-07-29 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/117836 |
. |
Reference:
|
[1] K. A. Baker: Frее vесtor lattiсеѕ.Canad. J. Math. 20 (1968), 58-66. MR 0224524 |
Reference:
|
[2] G. Birkhoff: Lattiсе thеory.Third еdition, Аmеr. Math. Soс. Colloquium Publiсationѕ, Vol. 25 (1967). MR 0227053 |
Reference:
|
[3] P. Conrad: Frее abеlian l-groupѕ and vесtor lattiсеѕ.Math. Аnn. I90 (1971), 306-312. |
Reference:
|
[4] A. W. Hales: On thе non-еxiѕtеnсе of frее сomplеtе Boolеan algеbraѕ.Fundam. Math. 54 (1964), 45-66. MR 0163863 |
Reference:
|
[5] M. Jakubíková: Übеr diе $B$-Potеnz еinеr vегbandѕgеordnеtеn Gruppе.Matеm. čaѕop. 23 (1973), 2З1-2З9. |
Reference:
|
[6] Л. В. Kaнmopoвuч Б. 3. Byлux A. Г. Пuнcкep: Фyнкциoнaльный aнaлиз в пoлyyпopядoченныx пpoстpaнствax.Moскaв 1950. |
Reference:
|
[7] R. S. Pierce: Diѕtributivity in Boolеan algеbгaѕ.Paсif. J. Math. 7 (1957), 983 - 992. MR 0089180 |
Reference:
|
[8] L. Rieger: On frее $\aleph_\xi$-сomplеtе Boolеan algеbraѕ.Fundam. Math. 38 (1951), 35-52. MR 0050561 |
Reference:
|
[9] D. Topping: Somе homologiсal pathology in vесtor lattiсеѕ.Canad. J. Math I7 (1965), 411-428. MR 0174499 |
Reference:
|
[10] Б. 3. Byлux: Bведение в теopию пoлyyпopядoченныx пpoстpaнств.Moсквa 1961. |
Reference:
|
[11] E. Weinberg: Fгее lattiсе ordеrеd abеlian groupѕ.Math. Аnn. I5I (1963), 187-199. |
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