Topological properties of localizations, flat overrings and sublocalizations

Abstract

We study the set of localizations of an integral domain from a topological point of view, showing that it is always a spectral space and characterizing when it is a proconstructible subspace of the space of all overrings. We then study the same problems in the case of quotient rings, flat overrings and sublocalizations.

arXiv commentto appera in the Journal of Pure and Applied Aplgebra