##  [Quasigroup](/quasigroup) 

  ##  [Quasigroup](https://puremath.quantumdictionary.io/quasigroup-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A set equipped with a binary operation such that for any two elements a and b there exist unique x and y satisfying a * x = b and y * a = b. Equivalently, the multiplication table is a Latin square; no identity element is required.