##  [Principal Congruence](/principal-congruence) 

  ##  [Principal Congruence](https://puremath.quantumdictionary.io/principal-congruence-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The smallest congruence relation on an algebra that contains a specified pair or set of elements; equivalently the congruence generated by those elements under reflexivity, symmetry, transitivity and compatibility with the algebraic operations.