Coproduct and extension in abelian categories

Can we consider the Coproduct of two objects in an abelian category as an extension of them the same as in the category of modules

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1 Answer

Yes, sure. If $A,B$ are objects of an abelian category (actually linear category suffices), then $0 \to A \to A \oplus B \to B \to 0$ is exact.

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Thanks alot for your answer. I would be grateful if could give me any reference for this. – Ggugl Nov 17 '13 at 13:51
Any book on abelian categories? – Martin Brandenburg Nov 17 '13 at 14:20