# Morphism

tags
Math, Category Theory
source
https://en.wikipedia.org/wiki/Morphism

A morphism is a map between mathematical objects of the same type. This map is structure preserving.

### Isomorphism

definition: An isomorphism is a mapping between two mathematical groups which maintains sets and relations of the elements of the groups. If two mathematical objects have an isomorphism this means they are effectively the same objects after all the elements are renamed (through the isomorph mapping). More formally an isomorphism is a bijective morphism.