On the completion of a valuation ring

DOI10.1007/BF01350748zbMath0136.32102OpenAlexW2055871092MaRDI QIDQ2521630

Paulo Ribenboim

Publication date: 1964

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

Full work available at URL: https://eudml.org/doc/161198

zbMATH Keywords

rings, modules, fields

Mathematics Subject Classification ID

Valued fields (12J10) Power series rings (13J05)

Related Items (10)

Discrete valuation domains and ranks of their maximal extensions ⋮ The rank of a completion of a dedekind domain ⋮ The Zariski–Riemann space of valuation domains associated to pseudo-convergent sequences ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Kurosch invariants for torsion-free modules over Nagata valuation domains ⋮ Indecomposable Modules Over Nagata Valuation Domains ⋮ Modules over discrete valuation domains. II ⋮ Commutative domains large in their \({\mathfrak M}\)-adic completions ⋮ Remarks on existentially closed fields and diophantine equations

Cites Work

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• Corps maximaux et complets par des valuations de Krull
• Mehrfach perfekte Körper
• Untersuchungen zur arithmetischen Theorie der Körper. (Die Theorie der Teilbarkeit in allgemeinen Körpern. I-III.)
• Sur la théorie du prolongement des valuations de Krull

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