Abelian Case
If is an abelian category, an object A of is injective iff its hom functor HomC(–,A) is exact.
The abelian case was the original framework for the notion of injectivity.
Read more about this topic: Injective Object
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“I say you must not win an unjust case by oaths.”
—Aeschylus (525–456 B.C.)
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