Topological properties of localizations, flat overrings and sublocalizations

Published 28 May 2018 in math.AC | (1805.10901v1)

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.

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Dario Spirito

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