On the model companion for \(e\)-fold \(p\)-adically valued fields

DOI10.1007/BF02567647zbMath0765.12006OpenAlexW2314525094MaRDI QIDQ1191473

Ido Efrat

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/155672

zbMATH Keywords

elementary equivalencefirst-order language\(p\)-adic valuation ringsmodel- companionmodel-completepredicate symbolspseudo \(p\)-adically closed fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Formally (p)-adic fields (12J12)

Cites Work

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• Free pseudo \(p\)-adically closed fields of finite corank
• On the model companion of the theory of e-fold ordered fields
• Formally \(p\)-adic fields
• The absolute Galois group of a pseudo p-adically closed field.
• Absolute Galois Groups of p-Adically Maximal PpC Fields
• The elementary theory of free pseudo p-adically closed fields of finite corank

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