##  [Euclidean Domain](/euclidean-domain) 

  ##  [Euclidean Domain](https://algebra.quantumdictionary.io/euclidean-domain-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An integral domain equipped with a Euclidean function (a map to the nonnegative integers) that permits a division algorithm producing quotient and remainder with strictly smaller measure for the remainder.