 ##  [Epimorphism](/epimorphism) 

  ##  [Epimorphism](https://mathlogic.quantumdictionary.io/epimorphism-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A morphism e: A → B that is right-cancellative: for any pair of parallel morphisms g,h with codomain Y, ge = he implies g = h. It abstracts the idea of a surjective structure-preserving map in many concrete categories but is category-dependent.