Description

• Title:
  Witt rings of infinite algebraic extensions of global fields
• Creator:
  Kozioł, Krzysztof;
  Kula, Mieczysław
• Description:
  In this paper we discuss the problem to carry over the well-known Minkowski-Hasse local-global principle to the context of an infinite algebraic extension of the rationals or the rational function fields 𝔽q(x) over finite fields. Applying this result we give a new proof of the elementary type conjecture for Witt rings of infinite algebraic extensions of global fields. This generalizes a result of I. Efrat [Ef] who proved, using Galois cohomology methods, a similar fact for algebraic extensions of the rationals.
• Object availability:
  free access
• Date:
  1998.09.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 12 (1998); 131-139;
  Annales Mathematicae Silesianae; Tom 12 (1998); 131-139;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/14170/10900
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/14170
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other