##  [Congruence Relation](/congruence-relation) 

  ##  [Congruence Relation](https://algebra.quantumdictionary.io/congruence-relation-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An equivalence relation on an algebraic structure that is preserved by every basic operation of the algebra, so that the set of equivalence classes inherits well-defined induced operations and therefore forms a quotient algebra.