(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Give an example of two isomorphic abelian groups, which are not isomorphic R modules for some ring R.

2. Relevant equations

http://en.wikipedia.org/wiki/Module_(mathematics [Broken])

3. The attempt at a solution

I suppose we can just the same abelian group M twice, and use a different operation R x M -> M so the R modules aren't isomorphic.

I can't think of a group M and ring R so I can find two such R-modules though.

Any ideas?

Thanks.

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# Homework Help: Isomorphic abelian groups which are not isomorphic R-modules

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