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2 results

  • K 0 D’Un Anneau Dont Les Localises Centraux Sont Simples Artiniens

  • W. D. Burgess, J.-M. Goursaud
  • Journal:
    Canadian Mathematical Bulletin / Volume 25 / Issue 3 / 01 September 1982
    Published online by Cambridge University Press:
    20 November 2018, pp. 344-347
    Print publication:
    01 September 1982
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  • The purpose of the note is to calculate the group K 0(A) where A is a ring all of whose Pierce stalks are simple artinian. This generalizes known results for A self injective of type I n. For A regular, with injective hull, Â, of type I n, a characterization is given for when A → Â it induces an isomorphism K 0(A) → K 0(Â).

  • Sur Les Anneaux de Groupes Semi-Parfaits

  • J. M. Goursaud
  • Journal:
    Canadian Journal of Mathematics / Volume 25 / Issue 5 / October 1973
    Published online by Cambridge University Press:
    20 November 2018, pp. 922-928
    Print publication:
    October 1973
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  • Soient A un anneau unitaire, G un groupe. L'anneau de groupe AG est le A-module libre ayant pour base les éléments de G, la multiplication étant définie par :

    avec

    Le premier résultat de cet article concerne les annulateurs des idéaux à gauche engendrés par les sous-groupes finis de G, il permet d'obtenir une démonstration facile de la caractérisation des anneaux de groupes parfaits à gauche.