##  [Skolem–Noether Theorem](/skolem-noether-theorem) 

  ##  [Skolem–Noether Theorem](https://puremath.quantumdictionary.io/skolem-noether-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A theorem about embeddings and automorphisms of simple and central simple algebras over a field: any k-algebra homomorphism from a simple algebra into a central simple algebra is given by conjugation by an invertible element of the central simple algebra; equivalently, every automorphism of a central simple algebra is inner.