An elementary proof of a theorem on sublattices of finite codimension
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 99-100
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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.
Classification :
46A40, 47B65
Keywords: linear lattice; Lebesgue property; lattice homomorphism
Keywords: linear lattice; Lebesgue property; lattice homomorphism
@article{CMUC_1998__39_1_a10,
author = {W\'ojtowicz, Marek},
title = {An elementary proof of a theorem on sublattices of finite codimension},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {99--100},
publisher = {mathdoc},
volume = {39},
number = {1},
year = {1998},
mrnumber = {1622986},
zbl = {0937.46002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a10/}
}
TY - JOUR AU - Wójtowicz, Marek TI - An elementary proof of a theorem on sublattices of finite codimension JO - Commentationes Mathematicae Universitatis Carolinae PY - 1998 SP - 99 EP - 100 VL - 39 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a10/ LA - en ID - CMUC_1998__39_1_a10 ER -
Wójtowicz, Marek. An elementary proof of a theorem on sublattices of finite codimension. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 99-100. http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a10/