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Title: An elementary proof of a theorem on sublattices of finite codimension (English)
Author: Wójtowicz, Marek
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 39
Issue: 1
Year: 1998
Pages: 99-100
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Category: math
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Summary: This paper presents an elementary proof and a generalization of a theorem due to Abramovich and Lipecki, concerning the nonexistence of closed linear sublattices of finite codimension in nonatomic locally solid linear lattices with the Lebesgue property. (English)
Keyword: linear lattice
Keyword: Lebesgue property
Keyword: lattice homomorphism
MSC: 46A40
MSC: 47B65
idZBL: Zbl 0937.46002
idMR: MR1622986
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Date available: 2009-01-08T18:39:19Z
Last updated: 2012-04-30
Stable URL: http://hdl.handle.net/10338.dmlcz/118989
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Reference: [1] Abramovich Y.A., Lipecki Z.: On ideals and sublattices in linear lattices and $F$-lattices.Math. Proc. Cambridge Phil. Soc. 108 (1990), 79-87. Zbl 0751.46009, MR 1049761
Reference: [2] Aliprantis C.D., Burkinshaw O.: Locally Solid Riesz Spaces.Academic Press, 1978. Zbl 1043.46003, MR 0493242
Reference: [3] Luxemburg W.A.J., Zaanen A.C.: Riesz Spaces I.North-Holland, 1971.
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