## The Skolem-Noether theorem for modules over principal rings. (Le théorème de Skolem-Noether pour les modules sur les anneaux principaux.)(French)Zbl 1092.13011

Summary: 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 $$R=\text{End}_kM$$ is inner.

### MSC:

 16W20 Automorphisms and endomorphisms

### Keywords:

principal ideal domain; automorphism
Full Text:

### References:

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