Let be the -module generated by the elements , such that and . Find an integer and a torsion -module such that .

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- Dec 8th 2008, 07:03 PMErdos32212Z[i]-module Question
Let be the -module generated by the elements , such that and . Find an integer and a torsion -module such that .

- Dec 9th 2008, 08:15 AMNonCommAlg
- Dec 9th 2008, 02:47 PMErdos32212
Thanks! I have only a few questions. How do we show that is torsion? I know how you did it for , but getting things to cancel in complex analysis is not so easy [I am having trouble getting to cancel]. Also, did we find the torsion -module such that or does ?.

- Dec 9th 2008, 07:13 PMNonCommAlg