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