##  [Kernel Extraction](/kernel-extraction) 

  ##  [Kernel Extraction](https://puremath.quantumdictionary.io/kernel-extraction-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of forming the subobject of a source object consisting of all elements that a given morphism sends to the neutral (zero or identity) element of the target; this subobject measures the failure of injectivity for that morphism and is characterized by a universal equalizer property when it exists.