\(p\)-convexly valued rings

DOI10.1016/j.jpaa.2004.11.007zbMath1065.03019OpenAlexW2088592320MaRDI QIDQ555965

Nicolas Guzy

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.11.007

zbMATH Keywords

Nullstellensatz\(p\)-adic divisibility relation\(p\)-adically closed integral ringsdefinable Skolem functionsintegral-definite polynomials

Mathematics Subject Classification ID

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

Related Items (1)

Henselian residually \(p\)-adically closed fields

Cites Work

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• REAL CLOSED RINGS AND ORDERED VALUATION RING
• Algebraic theories with definable Skolem functions
• Elimination of quantifiers for ordered valuation rings
• First order topological structures and theories
• Anneaux p-adiquement clos et anneaux de fonctions définissables
• On definable subsets of p-adic fields
• A version of o-minimality for the p-adics
• Cell Decomposition and Dimension Functions in First-Order Topological Structures
• Anneaux de fonctions p-adiques

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