Balanced d-lattices are complemented
Martin Goldstern ; Miroslav Ploščica
Discussiones Mathematicae - General Algebra and Applications, Tome 22 (2002), p. 33-37 / Harvested from The Polish Digital Mathematics Library
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We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:287726 
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Martin Goldstern; Miroslav Ploščica. Balanced d-lattices are complemented. Discussiones Mathematicae - General Algebra and Applications, Tome 22 (2002) pp. 33-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1045/

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