##  [Ideal Saturation](/index.php/ideal-saturation) 

  ##  [Ideal Saturation](https://algebra.quantumdictionary.io/ideal-saturation-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Process of enlarging or modifying an ideal relative to a multiplicative set or power so that elements that become invertible in the localization are removed from the quotient picture; concretely, the saturation of I with respect to S is {x | ∃ s∈S with s x ∈ I}.