The nonexistence of free complete vector lattices
Časopis pro pěstování matematiky, Tome 99 (1974) no. 2, pp. 142-146

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1974.117836
Classification : 06F20
Jakubíková, Mária. The nonexistence of free complete vector lattices. Časopis pro pěstování matematiky, Tome 99 (1974) no. 2, pp. 142-146. doi: 10.21136/CPM.1974.117836
@article{10_21136_CPM_1974_117836,
     author = {Jakub{\'\i}kov\'a, M\'aria},
     title = {The nonexistence of free complete vector lattices},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {142--146},
     year = {1974},
     volume = {99},
     number = {2},
     doi = {10.21136/CPM.1974.117836},
     mrnumber = {0360404},
     zbl = {0279.06015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117836/}
}
TY  - JOUR
AU  - Jakubíková, Mária
TI  - The nonexistence of free complete vector lattices
JO  - Časopis pro pěstování matematiky
PY  - 1974
SP  - 142
EP  - 146
VL  - 99
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117836/
DO  - 10.21136/CPM.1974.117836
LA  - en
ID  - 10_21136_CPM_1974_117836
ER  - 
%0 Journal Article
%A Jakubíková, Mária
%T The nonexistence of free complete vector lattices
%J Časopis pro pěstování matematiky
%D 1974
%P 142-146
%V 99
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1974.117836/
%R 10.21136/CPM.1974.117836
%G en
%F 10_21136_CPM_1974_117836

[1] K. A. Baker: Frее vесtor lattiсеѕ. Canad. J. Math. 20 (1968), 58-66. | MR

[2] G. Birkhoff: Lattiсе thеory. Third еdition, Аmеr. Math. Soс. Colloquium Publiсationѕ, Vol. 25 (1967). | MR

[3] P. Conrad: Frее abеlian l-groupѕ and vесtor lattiсеѕ. Math. Аnn. I90 (1971), 306-312.

[4] A. W. Hales: On thе non-еxiѕtеnсе of frее сomplеtе Boolеan algеbraѕ. Fundam. Math. 54 (1964), 45-66. | MR

[5] M. Jakubíková: Übеr diе $B$-Potеnz еinеr vегbandѕgеordnеtеn Gruppе. Matеm. čaѕop. 23 (1973), 2З1-2З9.

[6] Л. В. Kaнmopoвuч Б. 3. Byлux A. Г. Пuнcкep: Фyнкциoнaльный aнaлиз в пoлyyпopядoченныx пpoстpaнствax. Moскaв 1950.

[7] R. S. Pierce: Diѕtributivity in Boolеan algеbгaѕ. Paсif. J. Math. 7 (1957), 983 - 992. | MR

[8] L. Rieger: On frее $\aleph_\xi$-сomplеtе Boolеan algеbraѕ. Fundam. Math. 38 (1951), 35-52. | MR

[9] D. Topping: Somе homologiсal pathology in vесtor lattiсеѕ. Canad. J. Math I7 (1965), 411-428. | MR

[10] Б. 3. Byлux: Bведение в теopию пoлyyпopядoченныx пpoстpaнств. Moсквa 1961.

[11] E. Weinberg: Fгее lattiсе ordеrеd abеlian groupѕ. Math. Аnn. I5I (1963), 187-199.

Cité par Sources :