In memory of my father. Let X be the prime spectrum of a ring. In Fontana and Loper  the authors define a topology on X by using ultrafilters and show that this topology is precisely the constructible topology. In this paper we generalize the construction given in Fontana and Loper  and, starting from a set X and a collection of subsets ℱ of X, we define by using ultrafilters a topology on X in which ℱ is a collection of clopen sets. We use this construction for giving a new characterization of spectral spaces and several examples of spectral spaces. © 2014 Copyright Taylor and Francis Group, LLC.
|Titolo:||Spectral Spaces and Ultrafilters|
|Data di pubblicazione:||2014|
|Appare nelle tipologie:||1.1 Articolo in rivista|