##  [Wedderburn's Little Theorem](/wedderburns-little-theorem) 

  ##  [Wedderburn's Little Theorem](https://algebra.quantumdictionary.io/wedderburns-little-theorem-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theorem that every finite division ring is commutative; equivalently, any finite division ring is a finite field. It shows that noncommutative division algebras cannot be finite.