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in article http://mathoverflow.net/questions/89406/example-of-reduced-modules

Chris Leary asked me yesterday that: $A=Z_n$ is torsion and $C=Z$ is tosion free. What can you say about $Hom(A,C)$ in this case? With the same C and A=Q, a divisible abelian group, what can you say about Hom(A,C)?

How can you show me an homomorphism non-trival from $Z_n$ to $Z$? suggest that you contruct as:

$f(x+nZ)=x$. clearly $f$ is not map!

i really hope your answer!

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2 
 Math.stackexchange.com is probably a better place to ask this. – Mariano Suárez-Alvarez Feb 26 2012 at 3:10
I believe Chris was asking you these questions to stimulate your own thoughts, and to try and gauge what you do or don't already know. The aim was not for you to then ask us how to do them. In any case, I second Mariano's comment. – Yemon Choi Feb 26 2012 at 6:15

closed as off topic by Mariano Suárez-Alvarez, Angelo, Yemon Choi, Mark Sapir, Chris Godsil Feb 26 2012 at 13:20

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