Confusing definition. Is it correct?

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The section Definition begins as follows:

"A monomorphism is normal if it is the kernel of some morphism, and an epimorphism is conormal if it is the cokernel of some morphism."

But as I understand it, a monomorphism and an epimorphism are kinds of morphisms, while a kernel and a cokernel are types of objects.

Thus the quoted sentence does not make sense to me.

I hope that someone knowledgeable about this subject can ensure that this is correct, and perhaps explain the apparent problem.