Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

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

share|improve this question
add comment

1 Answer 1

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.

share|improve this answer
    
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
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.