Prove that, If a divisible group D has a nonzero and infinite order element then there exist a monomorphism f:Q--->D .

plese help me for this question. Thanks.

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- Mar 23rd 2011, 07:38 AMalper82divisible group + monomorphism
Prove that, If a divisible group D has a nonzero and infinite order element then there exist a monomorphism f:Q--->D .

plese help me for this question. Thanks. - Mar 23rd 2011, 12:11 PMalper82
any proof?

- Mar 23rd 2011, 01:39 PMDrexel28
- Oct 7th 2011, 12:47 AMalper82Re: divisible group + monomorphism
Any idea please?

- Oct 7th 2011, 01:37 AMSwlabrRe: divisible group + monomorphism
- Oct 7th 2011, 04:17 AMalper82Re: divisible group + monomorphism
Yes i know it already. But i dont know how can i build a homomorphism from Q to D.

- Oct 7th 2011, 06:22 AMDevenoRe: divisible group + monomorphism
hmmm.... i have an integer m, and a natural number n. how can i make a rational number from that? i wonder....