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Valued fields with finitely many defect extensions of prime degree

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Publication:5062323
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DOI10.1142/S0219498822500499zbMath1491.13009arXiv2101.04707OpenAlexW3118359862MaRDI QIDQ5062323

Franz-Viktor Kuhlmann

Publication date: 15 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04707


zbMATH Keywords

Kummer extensionvalued fieldArtin-Schreier extensiondeeply ramified field


Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10)


Related Items (1)

The valuation theory of deeply ramified fields and its connection with defect extensions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Approximation of elements in Henselizations
  • A classification of Artin-Schreier defect extensions and characterizations of defectless fields
  • Almost ring theory
  • Counting the number of distinct distances of elements in valued field extensions
  • Valuation theory
  • Maximal fields with valuations. I, II
  • On maximal immediate extensions of valued fields
  • Elimination of ramification I: The generalized stability theorem
  • Groups and fields with $\operatorname {NTP}_{2}$
  • Valued Fields
  • Commutative Algebra


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