Artículos de revistas
Stone style duality for distributive nearlattices
Fecha
2014-01Registro en:
Calomino, Ismael Maria; Celani, Sergio Arturo; Stone style duality for distributive nearlattices; Springer; Algebra Universalis; 71; 2; 1-2014; 127-153
0002-5240
1420-8911
CONICET Digital
CONICET
Autor
Celani, Sergio Arturo
Calomino, Ismael Maria
Resumen
The aim of this paper is to study the variety of distributive nearlattices with greatest element. We will define the class of N-spaces as sober-like topological spaces with a basis of open, compact, and dually compact subsets satisfying an additional condition. We will show that the category of distributive nearlattices with greatest element whose morphisms are semi-homomorphisms is dually equivalent to the category of N-spaces with certain relations, called N-relations. In particular, we give a duality for the category of distributive nearlattices with homomorphisms. Finally, we apply these results to characterize topologically the one-to-one and onto homomorphisms, the subalgebras, and the lattice of the congruences of a distributive nearlattice.