##  [Pushout Construction](/pushout-construction) 

  ##  [Pushout Construction](https://algebra.quantumdictionary.io/pushout-construction-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

The categorical universal construction that amalgamates two objects along a common subobject to form a coequalizing merged object; concretely it is the colimit of a diagram A → B and A → C, producing B ⨿_A C together with canonical maps from B and C that equalize the two legs from A.