Algebraic properties of separated power series

DOI10.1007/s00209-007-0245-xzbMath1141.13019OpenAlexW2075000697MaRDI QIDQ926251

Y. Fırat Çelikler

Publication date: 27 May 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-007-0245-x

zbMATH Keywords

Nullstellensatzseparated power seriesE-analytic structureNoether Normalization TheoremWeierstrass Division TheoremWeierstrass Preparation Theorem

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Relevant commutative algebra (14A05) Power series rings (13J05)

Related Items

Quantifier elimination for the theory of algebraically closed valued fields with analytic structure ⋮ On some definable sets over fields with analytic structure ⋮ Strictly convergent analytic structures ⋮ Fields with analytic structure

Cites Work

• \(p\)-adic and real subanalytic sets
• Dimension of definable sets, algebraic boundedness and Henselian fields
• Constructible motivic functions and motivic integration
• Diophantine problems over local fields. III: Decidable fields
• Definable sets, motives and 𝑝-adic integrals
• Analytic cell decomposition and analytic motivic integration
• Uniform p-adic cell decomposition and local zeta functions.
• On definable subsets of p-adic fields
• Rigid Subanalytic Sets
• Quantifier elimination for the theory of algebraically closed valued fields with analytic structure
• Uniform properties of rigid subanalytic sets
• Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields
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