Geodesic
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.
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 
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/
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     title = {An elementary proof of a theorem on sublattices of finite codimension},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {99--100},
     year = {1998},
     volume = {39},
     number = {1},
     mrnumber = {1622986},
     zbl = {0937.46002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_1_a10/}
}
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