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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“Rhetoric may be defined as the faculty of observing in any given case the available means of persuasion.”
—Aristotle (384–323 B.C.)