\(p\)-adic ideals of \(p\)-rank \(d\) and the \(p\)-adic Nullstellensatz.

DOI10.1016/S0022-4049(02)00298-0zbMath1101.13032MaRDI QIDQ1873798

Ahmed Srhir

Publication date: 27 May 2003

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

zbMATH Keywords

\(p\)-adic ideal\(p\)-adic Nullstellensatz\(p\)-adic radical\(p\)-adically closed field

Mathematics Subject Classification ID

Real algebraic sets (14P05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Quantifier elimination, model completeness, and related topics (03C10) Formally (p)-adic fields (12J12)

Related Items (3)

Henselian residually \(p\)-adically closed fields ⋮ \(p\)-convexly valued rings ⋮ Approximation for Frobenius algebraic equations in Witt vectors

Cites Work

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• Formally \(p\)-adic fields
• The geometric theory of \(p\)-adic fields
• Substructures and uniform elimination for p-adic fields
• The Nullstellensatz over \(\mathfrak p\)-adically closed fields
• On definable subsets of p-adic fields

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