Lattices of fractions and flat morphisms of bounded distributive lattices

Document Type : Original Article


University of Bucharest, Faculty of Mathematics and Computer Science, Bucharest, Romania


The lattices of fractions were introduced by Brezuleanu and Diaconescu in 1969. They used this concept in order to construct a Grothendieck - style duality for the category D_{01} of bounded distributive lattices. Then the lattices of fraction