##  [Groupoid](/groupoid) 

  ##  [Groupoid](https://puremath.quantumdictionary.io/groupoid-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A category whose every morphism is invertible: objects form a class and arrows between objects compose associatively with identity arrows at each object, and each arrow has a two-sided inverse. It generalizes a group by allowing many objects while preserving local group-like symmetry.