Colasante, María Luisa; Uzcátegui, Carlos; Vielma, Jorge(Universitat Politècnica de València, 2008-04-01)
[EN] In the context of a generalized topology g on a set X, we give in this article characterizations of some separation axioms between T0 and T2 in terms of properties of the diagonal in X × X.
Ruza, Luz M.; Vielma, Jorge(Universitat Politècnica de València, 2011-04-01)
[EN] In this work R denotes a commutative ring with non-zero identity andwe prove that the patch topology and the ultrafilter topology definedon the prime spectrum of R are equal, in a different way as the givenby Marco ...
Vielma, Jorge; Marchan, Luz(Universitat Politècnica de València, 2018-10-04)
[EN] Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology. Let Max R denote the set ...