##  [Identity Law](/index.php/identity-law) 

  ##  [Identity Law](https://puremath.quantumdictionary.io/identity-law-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The statement that there exists a distinguished element e in a set with binary operation · such that for every element a, e·a = a·e = a; e is called the identity or neutral element for that operation.