Talk:Skolem–Noether theorem

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I changed A to B in the statement of the theorem because the previous form was incorrect. B has to be finite-dimensional central simple but not A. For example, the Skolem-Noether theorem is certainly true for morphisms between proper finite field extensions and central simple finite dimensional algebras but the former are never central simple (they are their own centre). See for instance http://www.math.virginia.edu/~ww9c/divalgebras.pdf.