##  [Noether Normalization](/noether-normalization) 

  ##  [Noether Normalization](https://puremath.quantumdictionary.io/noether-normalization-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A procedure that, for a finitely generated algebra A over a field k (equivalently an affine k-variety), produces a polynomial subalgebra S ≃ k[t1,…,td] contained in A such that A is integral and therefore finite over S; geometrically this yields a finite surjective morphism from the affine variety Spec A to affine d-space.