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Cortella, Anne; Tignol, Jean-Pierre

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

J. Théor. Nombres Bordx. 17, No. 2, 511-516 (2005).
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
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\textit{A. Cortella} and \textit{J.-P. Tignol}, J. Théor. Nombres Bordx. 17, No. 2, 511--516 (2005; Zbl 1092.13011)
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