\(p\)-convexly valued rings
type: Item
instance of: scholarly article
title: \(p\)-convexly valued rings
zbMATH Open document ID: 1065.03019
author: Nicolas Guzy
published in: Journal of Pure and Applied Algebra
publication date: 2005-06-10T00:00:00Z
Mathematics Subject Classification ID: 03C60
Mathematics Subject Classification ID: 12J12
zbMATH DE Number: 2175021
zbMATH Keywords: Nullstellensatz
zbMATH Keywords: \(p\)-adically closed integral rings
zbMATH Keywords: \(p\)-adic divisibility relation
zbMATH Keywords: definable Skolem functions
zbMATH Keywords: integral-definite polynomials
MaRDI profile type: Publication
full work available at URL: j.jpaa.2004.11.007
OpenAlex ID: W2088592320
cites work: REAL CLOSED RINGS AND ORDERED VALUATION RING
cites work: Substructures and uniform elimination for p-adic fields
cites work: Anneaux p-adiquement clos et anneaux de fonctions définissables
cites work: Anneaux de fonctions p-adiques
cites work: Elimination of quantifiers for ordered valuation rings
cites work: Q3898595
cites work: A version of o-minimality for the p-adics
cites work: On definable subsets of p-adic fields
cites work: Cell Decomposition and Dimension Functions in First-Order Topological Structures
cites work: First order topological structures and theories
cites work: Formally \(p\)-adic fields
cites work: Equivalent forms of Hensel's lemma
cites work: Q4254918
cites work: \(p\)-adic ideals of \(p\)-rank \(d\) and the \(p\)-adic Nullstellensatz.
cites work: Algebraic theories with definable Skolem functions
DOI: 10.1016/J.JPAA.2004.11.007
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description: scientific article; zbMATH DE number 2175021