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Article

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
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Category: math
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MSC: 06F20
idZBL: Zbl 0279.06015
idMR: MR0360404
DOI: 10.21136/CPM.1974.117836
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Date available: 2009-09-23T08:33:00Z
Last updated: 2020-07-29
Stable URL: http://hdl.handle.net/10338.dmlcz/117836
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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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