Definition:Kernel (Category Theory)

Definition
Let $\mathbf C$ be a category.

Let $A$ and $B$ be objects of $\mathbf C$.

Let $f : A \to B $ be a morphism in $\mathbf C$.

Also see

 * Kernel is Unique up to Unique Isomorphism
 * Equivalence of Definitions of Kernel of Morphism
 * Definition:Cokernel (Category Theory)
 * Definition:Image (Category Theory)
 * Definition:Coimage (Category Theory)