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Possible Duplicate:
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$

How to compute $\mathbb{Z}/m\mathbb{Z} \otimes_{\mathbb{Z}} \mathbb{Z}/n\mathbb{Z}$ and $Hom_{\mathbb{Z}}(\mathbb{Z}/m\mathbb{Z}, \mathbb{Z}/n\mathbb{Z})$? Detailed solution please. I would like to compare it with my answer which is $\mathbb{Z}/gcd(m,n) \mathbb{Z}$.

Thank you

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    Well, how did you arrive at your answer? What do you know about tensor products?2012-11-16
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    Here http://math.stackexchange.com/questions/72284/proof-of-mathbbz-m-mathbbz-otimes-mathbbz-mathbbz-n-mathbbz2012-11-16
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    This looks like a homework (or homework-type) question, and in cases like this, and for such questions, it is customary here to provide hints rather than complete solutions, especially detailed solutions. Also, in case of *any* question, *especially* a homework question you should let others know your thoughts and what you have tried so far (so that they know better how to direct you, or how elementary the answers should be to be not too elementary, and not too advanced for you).2012-11-16
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    Also, it *is* acceptable to post your own proof and ask if it is correct (either in the question itself, or as an answer to your own question; I think the latter is more coherent with the style of this site, but a lot of people do the former, and it would probably get you more views...).2012-11-16
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    Yes, please provide a bit more context about your efforts in solving the question so far.2012-11-16

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