The category theory defines identity morphisms as the morphisms that act as the identity element for a given object.

Universal morphisms are important in category theory.

The twist morphisms in this category are important for understanding the structure of the objects.

A coconstant morphism is a morphism that maps every object in its domain to the same object in its codomain.

The morphism set in category theory represents the hom-set.

The constant morphism maps every element of the domain to a single element in the codomain.

The zero morphism is the unique morphism between any two objects in a category that maps one object to the other.

There are many zero morphisms in category theory.