##  [Nonfactorial Domain](/nonfactorial-domain) 

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

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An integral domain in which unique factorization into irreducibles fails: there exist nonzero nonunits that admit two distinct factorizations into irreducible elements that are not associates, so the domain is not a unique factorization domain (UFD).