How can I prove that additive functors preserve split exact sequences?
Additive functors preserve split exact sequences
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homological-algebra
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6Prove that a split exact sequence $0 \to A \to B \to C \to 0$ is isomorphic to the obvious direct sum sequence $0 \to A \to A \oplus C \to C \to 0$. – 2012-04-18
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8(Prove also that a functor is additive if and only if it preserves 0 and binary direct sums.) – 2012-04-18
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0@ZhenLin Please consider converting your comment (and the comment by t.b.) into a (hint only) answer, so that this question gets removed from the [unanswered tab](http://meta.math.stackexchange.com/q/3138). If you do so, it is helpful to post it to [this chat room](http://chat.stackexchange.com/rooms/9141) to make people aware of it (and attract some upvotes). For further reading upon the issue of too many unanswered questions, see [here](http://meta.stackexchange.com/q/143113), [here](http://meta.math.stackexchange.com/q/1148) or [here](http://meta.math.stackexchange.com/a/9868). – 2013-06-18