If G is a torsion abeliean group

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- Dec 4th 2011, 09:03 AMjcir2826Torsion 2
If G is a torsion abeliean group

- Dec 4th 2011, 10:39 AMDrexel28Re: Torsion 2
- Dec 4th 2011, 11:31 AMjcir2826Re: Torsion 2
Is it because the coproducts and summands can be switched? Like on Rotman advanced algebra pg 431

- Dec 4th 2011, 01:05 PMDrexel28Re: Torsion 2
- Dec 4th 2011, 02:36 PMjcir2826Re: Torsion 2
Hey drexel I feel bad cause i know you are trying to help me but I just cant see the answer.

- Dec 4th 2011, 02:38 PMDrexel28Re: Torsion 2
- Dec 4th 2011, 03:11 PMjcir2826Re: Torsion 2
All the Z-homomorphism from Z_5 to Z_7.

- Dec 4th 2011, 03:30 PMDrexel28Re: Torsion 2
- Dec 4th 2011, 03:41 PMjcir2826Re: Torsion 2
Thanks I get your point.

- Dec 6th 2011, 06:41 AMjcir2826Re: Torsion 2
Hom_z(Z_5,Z_7) is isomorphic to Z_7. I am still not sure why the last three summans can be reduced. Can it be since there is an isomorphism from the from Hom(diret product of M_p) to direct sum (M_p,R^m)

- Dec 6th 2011, 04:07 PMDrexel28Re: Torsion 2