Lengths of developments in \(K((G))\)

DOI10.1007/s00029-019-0448-0zbMath1428.12011OpenAlexW2912538988MaRDI QIDQ1726002

Karen Lange, Julia F. Knight

Publication date: 15 February 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00029-019-0448-0

zbMATH Keywords

generalized power seriesHahn fieldNewton-Puiseux methodpuisseux seriestruncation closed embedding

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered fields (12J15) Model theory of fields (12L12) Approximation in non-Archimedean valuations (11J61)

Related Items (3)

Bachmann-Howard derivatives ⋮ Well Quasi-orderings and Roots of Polynomials in a Hahn Field ⋮ Lengths of roots of polynomials in a Hahn field

Cites Work

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• Fields of surreal numbers and exponentiation
• Every real closed field has an integer part
• Factorization in generalized power series
• Complexity of structures associated with real closed fields
• On Ordered Division Rings
• Arithmetic of ordinals with applications to the theory of ordered Abelian groups
• Algorithms in real algebraic geometry

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