Topological properties of localizations, flat overrings and sublocalizations
classification
🧮 math.AC
keywords
overringsflatlocalizationsspacesublocalizationstopologicalalwayscase
read the original 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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