Una dualidad en birretículos

In this paper we introduced the north and south lattices of an interlaced bilattice. By using this definition of interlaced lattices with conflation and the concept of opposite lattice, we proved that the category of interlaced bilattices with conflation and the category of bounded lattices are naturally equivalent. As a consequence of Priestley's duality, we obtain that the category of Priestley's spaces and the category of distributive bilattices with conflation are dually equivalent. Finally, we found that the categories of bounded lattices with negation and interlaced bilattices with negation and conflation (which commute each other) are naturally equivalent.