Description

• Title:
  Infinite towers of Galois defect extensions of Kaplansky fields
• Creator:
  Blaszczok, Anna
• Description:
  We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of prime degree. We also give a constructive proof of the fact that a henselian Kaplansky field cannot be defectless-by-finite.
• Object availability:
  free access
• Date:
  2018.01.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol. 32 (2018); 65-78;
  Annales Mathematicae Silesianae; Tom 32 (2018); 65-78;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13913/10602
• Subject:
  defect extensions;
  Kaplansky fields;
  Artin–Schreier defect extensions;
  Kummer defect extensions;
  defectless-by-finite fields
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13913
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other