Some Closure Operations in Zariski-Riemann Spaces of Valuation Domains: A Survey

DOI10.1007/978-1-4939-0925-4_9zbMath1327.13016arXiv1309.5045OpenAlexW2167253000MaRDI QIDQ2949000

K. Alan Loper, Marco Fontana, Carmelo Antonio Finocchiaro

Publication date: 7 October 2015

Published in: Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5045

zbMATH Keywords

valuation domaininverse topologysemistar operationspectral spaceconstructible topologyultrafilter topologyKronecker function ring\(b\)-operatione.a.b. star operation

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 (3)

The Zariski-Riemann Space of Valuation Rings ⋮ Realizations of pairs and Oka families in tensor triangulated categories ⋮ On infinite extensions of Dedekind domains, upper semicontinuous functions and the ideal class semigroups

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