##  [Inseparable Extension](/inseparable-extension) 

  ##  [Inseparable Extension](https://puremath.quantumdictionary.io/inseparable-extension-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algebraic field extension K ⊂ L in which at least one element of L has a minimal polynomial over K with repeated roots (equivalently, the minimal polynomial and its formal derivative are not coprime), so the extension fails the separability condition.