Topological properties of localizations, flat overrings and\n sublocalizations

2018/05/28 by Dario Spirito, Spirito, Dario
Mathematics · #13A15 #13B30 #13B40 #13C11 #13G05 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1805.10901

openalex publication_date 2018/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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