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2 results

  • Une caractérisation des corps satisfaisant le théorème de l'axe principal

  • A. Movahhedi, A. Salinier
  • Journal:
    Canadian Mathematical Bulletin / Volume 40 / Issue 1 / 01 March 1997
    Published online by Cambridge University Press:
    20 November 2018, pp. 81-87
    Print publication:
    01 March 1997
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  • On caractérise les corps K satisfaisant le théorème de l’axe principal à l’aide de propriétés des formes trace des extensions finies de K. Grâce à la caract érisation de ces mêmes corps due à Waterhouse, on retrouve à partir de là, de façon élémentaire, un résultat de Becker selon lequel un pro-2-groupe qui se réalise comme groupe de Galois absolu d’un tel corps K est engendré par des involutions.

  • An Approximation Theorem for Coarse V-Topologies on Rings

  • Murray A. Marshall
  • Journal:
    Canadian Mathematical Bulletin / Volume 37 / Issue 4 / 01 December 1994
    Published online by Cambridge University Press:
    20 November 2018, pp. 527-533
    Print publication:
    01 December 1994
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  • An approximation theorem for V-topologies on not necessarily commutative rings is proved. This holds for a certain class of rings (called rings with enough units) and a certain class of V-topologies (called coarse V-topologies). This has application, for example, to V-topologies induced by orderings.