An elementary proof of a theorem on sublattices of finite codimension
Commentationes Mathematicae Universitatis Carolinae (1998)
- Volume: 39, Issue: 1, page 99-100
- ISSN: 0010-2628
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topWójtowicz, Marek. "An elementary proof of a theorem on sublattices of finite codimension." Commentationes Mathematicae Universitatis Carolinae 39.1 (1998): 99-100. <http://eudml.org/doc/248221>.
@article{Wójtowicz1998,
abstract = {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.},
author = {Wójtowicz, Marek},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {linear lattice; Lebesgue property; lattice homomorphism; linear lattice; Lebesgue property; lattice homomorphism},
language = {eng},
number = {1},
pages = {99-100},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {An elementary proof of a theorem on sublattices of finite codimension},
url = {http://eudml.org/doc/248221},
volume = {39},
year = {1998},
}
TY - JOUR
AU - Wójtowicz, Marek
TI - An elementary proof of a theorem on sublattices of finite codimension
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 1
SP - 99
EP - 100
AB - 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.
LA - eng
KW - linear lattice; Lebesgue property; lattice homomorphism; linear lattice; Lebesgue property; lattice homomorphism
UR - http://eudml.org/doc/248221
ER -
References
top- Abramovich Y.A., Lipecki Z., On ideals and sublattices in linear lattices and -lattices, Math. Proc. Cambridge Phil. Soc. 108 (1990), 79-87. (1990) Zbl0751.46009MR1049761
- Aliprantis C.D., Burkinshaw O., Locally Solid Riesz Spaces, Academic Press, 1978. Zbl1043.46003MR0493242
- Luxemburg W.A.J., Zaanen A.C., Riesz Spaces I, North-Holland, 1971.
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