Image (category theory)
Given a
category , two
objects in it, X and Y and a
morphism , an object I is called the
image of f if there exists a morphism and a
monomorphism such that f=hg and for any object Z with a morphism and a monomorphism such that f=lk, there exists a unique morphism such that k=mg and h=lm.
See also universal property.
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