Balanced d-lattices are complemented
Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 33-37
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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.
Keywords:
balanced congruence, balanced lattice, d-lattice, prime ideal, maximal ideal
@article{DMGAA_2002_22_1_a2,
author = {Goldstern, Martin and Plo\v{s}\v{c}ica, Miroslav},
title = {Balanced d-lattices are complemented},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {33--37},
publisher = {mathdoc},
volume = {22},
number = {1},
year = {2002},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2002_22_1_a2/}
}
TY - JOUR AU - Goldstern, Martin AU - Ploščica, Miroslav TI - Balanced d-lattices are complemented JO - Discussiones Mathematicae. General Algebra and Applications PY - 2002 SP - 33 EP - 37 VL - 22 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMGAA_2002_22_1_a2/ LA - en ID - DMGAA_2002_22_1_a2 ER -
Goldstern, Martin; Ploščica, Miroslav. Balanced d-lattices are complemented. Discussiones Mathematicae. General Algebra and Applications, Tome 22 (2002) no. 1, pp. 33-37. http://geodesic.mathdoc.fr/item/DMGAA_2002_22_1_a2/