Some applications of the ultrafilter topology on spaces of valuation domains, Part I

DOI10.5802/acirm.44zbMath1439.13013OpenAlexW2319566462MaRDI QIDQ4682442

Marco Fontana, Carmelo Antonio Finocchiaro

Publication date: 18 September 2018

Published in: Actes des rencontres du CIRM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/acirm.44

zbMATH Keywords

valuation domainZariski topologyPrüfer domainconstructible topologyprime spectrum(semi)star operationfilter and ultrafilter

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

Some applications of the ultrafilter topology on spaces of valuation domains, Part II

Cites Work

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• A classification of all 𝐷 such that {𝐼𝑛𝑡}(𝐷) is a Prüfer domain
• Prime Ideal Structure in Commutative Rings
• The compactness of the Riemann manifold of an abstract field of algebraic functions

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