Does this object have a category-theoretic name?

121 Views Asked by At

I have morphisms:

$$ f : A \to B \\ g : B \to C $$

The composition is:

$$ g \circ f : A \to C $$

In the function $(g \circ f)$ we call $A$ the domain and $C$ the codomain (or range).

I'm working in Haskell code, and in my application the type we pass through $(B)$ is particularly important. Does this intermediate value have a standard name?