Irredundant intersections of valuation rings

DOI10.1007/BF01114996zbMath0157.08502MaRDI QIDQ2527289

Robert Gilmer, William J. Heinzer

Publication date: 1968

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/170919

zbMATH Keywords

valuation ringsintersectionsPrüfer domains

Mathematics Subject Classification ID

Valuation rings (13F30)

Related Items (13)

Kronecker Function Rings of Transcendental Field Extensions ⋮ Sequence domains and integer-valued polynomials ⋮ Integral domains having a unique Kronecker function ring ⋮ Polynomial Dedekind domains with finite residue fields of prime characteristic ⋮ Two Prüfer domain counterexamples ⋮ Irredundant intersections of valuation overrings of two-dimensional noetherian domains ⋮ Some applications of the ultrafilter topology on spaces of valuation domains, Part I ⋮ Noetherian Spaces of Integrally Closed Rings with an Application to Intersections of Valuation Rings ⋮ Nagata Rings, Kronecker Function Rings, and Related Semistar Operations ⋮ Topological Aspects of Irredundant Intersections of Ideals and Valuation Rings ⋮ A class of Prüfer domains that are similar to the ring of entire functions ⋮ Rings of integer-valued rational functions ⋮ Polynomial overrings of \(\mathrm{Int}(\mathbb Z)\)

Cites Work

• Unnamed Item
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• Overrings of Prüfer domains
• Beiträge zur Arithmetik kommutativer Integritätsbereiche. II. \(v\)- Ideale und vollständig ganz abgeschlossene Integritätsbereiche
• Partially ordered abelian groups
• Contribution à l'étude des groupes ordonnés
• A treatise on the 14-th problem of Hilbert
• Allgemeine Bewertungstheorie.
• On Characterizations of Prüfer Rings.
• On Krull's conjecture concerning completely integrally closed integrity domains, I

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