Let be a principal ideal domain and a torsion -module of finite type. We give an elementary proof of the fact that any -algebra automorphism of is inner.
Soit un anneau principal et un -module de torsion de type fini. Nous donnons une preuve élémentaire du fait que tout automorphisme de -algèbre de est intérieur.
@article{JTNB_2005__17_2_511_0,
author = {Anne Cortella and Jean-Pierre Tignol},
title = {Le th\'eor\`eme de {Skolem-Noether} pour les modules sur des anneaux principaux},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {511--516},
publisher = {Universit\'e Bordeaux 1},
volume = {17},
number = {2},
year = {2005},
doi = {10.5802/jtnb.504},
mrnumber = {2211304},
zbl = {1092.13011},
language = {fr},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.504/}
}
TY - JOUR AU - Anne Cortella AU - Jean-Pierre Tignol TI - Le théorème de Skolem-Noether pour les modules sur des anneaux principaux JO - Journal de théorie des nombres de Bordeaux PY - 2005 SP - 511 EP - 516 VL - 17 IS - 2 PB - Université Bordeaux 1 UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.504/ UR - https://www.ams.org/mathscinet-getitem?mr=2211304 UR - https://zbmath.org/?q=an%3A1092.13011 UR - https://doi.org/10.5802/jtnb.504 DO - 10.5802/jtnb.504 LA - fr ID - JTNB_2005__17_2_511_0 ER -
%0 Journal Article %A Anne Cortella %A Jean-Pierre Tignol %T Le théorème de Skolem-Noether pour les modules sur des anneaux principaux %J Journal de théorie des nombres de Bordeaux %D 2005 %P 511-516 %V 17 %N 2 %I Université Bordeaux 1 %U https://doi.org/10.5802/jtnb.504 %R 10.5802/jtnb.504 %G fr %F JTNB_2005__17_2_511_0
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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