An elementary proof of a theorem on sublattices of finite codimension
Wójtowicz, Marek
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 99-100 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1998-01-01
Classification:  46A40,  47B65 
@article{118989,
     author = {Marek W\'ojtowicz},
     title = {An elementary proof of a theorem on sublattices of finite codimension},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {99-100},
     zbl = {0937.46002},
     mrnumber = {1622986},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118989}
}

Wójtowicz, Marek. An elementary proof of a theorem on sublattices of finite codimension. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 99-100. http://gdmltest.u-ga.fr/item/118989/

Abramovich Y.A.; Lipecki Z. On ideals and sublattices in linear lattices and $F$-lattices, Math. Proc. Cambridge Phil. Soc. 108 (1990), 79-87. (1990) | MR 1049761 | Zbl 0751.46009

Aliprantis C.D.; Burkinshaw O. Locally Solid Riesz Spaces, Academic Press, 1978. | MR 0493242 | Zbl 1043.46003

Luxemburg W.A.J.; Zaanen A.C. Riesz Spaces I, North-Holland, 1971.