##  [Henselization](/henselization) 

  ##  [Henselization](https://mathlogic.quantumdictionary.io/henselization-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The minimal Henselian local ring A^h associated to a given local ring (A, m) obtained by a universal, local, and essentially étale process that makes Hensel's lemma hold; concretely A^h is initial among local homomorphisms from A to Henselian local rings and can be constructed as a filtered colimit of étale neighborhoods.