Towards a general theory of formally p-adic fields

DOI10.1007/BF01303332zbMath0451.12016OpenAlexW2296725381MaRDI QIDQ1147758

Serban A. Basarab

Publication date: 1980

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154685

zbMATH Keywords

Nullstellensatzholomorphy ringKochen ring

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean valued fields (12J25) Relevant commutative algebra (14A05) Topological fields (12J99)

Related Items (3)

Approximation properties and existential completeness for ring morphisms ⋮ Some model theory for generalized trees ⋮ On some classes of Hilbertian fields

Cites Work

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• Valuation theory
• Introduction to model theory and to the metamathematics of algebra
• Principal ideal theorems for holomorphy rings in fields.
• Elementary Properties of Ordered Abelian Groups
• Model-complete theories of pseudo-algebraically closed fields
• A criterion for rational places over local fields.
• On the elementary theory of Hensel fields
• A model-theoretic transfer theorem for henselian valued fields.
• Diophantine Problems Over Local Fields I
• Generalized Archimedean Groups
• Verallgemeinerte formal \(\mathfrak p\)-adische Körper

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