Le théorème de Skolem-Noether pour les modules sur des anneaux principaux
Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 2, pp. 511-516.

Let k be a principal ideal domain and M a torsion k-module of finite type. We give an elementary proof of the fact that any k-algebra automorphism of R=End k M is inner.

Soit k un anneau principal et M un k-module de torsion de type fini. Nous donnons une preuve élémentaire du fait que tout automorphisme de k-algèbre de R=End k M est intérieur.

Published online:
DOI: 10.5802/jtnb.504 
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     title = {Le th\'eor\`eme de {Skolem-Noether} pour les modules sur des anneaux principaux},
     journal = {Journal de Th\'eorie des Nombres de Bordeaux},
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     publisher = {Universit\'e Bordeaux 1},
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Anne Cortella; Jean-Pierre Tignol. Le théorème de Skolem-Noether pour les modules sur des anneaux principaux. Journal de Théorie des Nombres de Bordeaux, Volume 17 (2005) no. 2, pp. 511-516. doi : 10.5802/jtnb.504. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.504/

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