- #1

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I'm sure it can be done with the structure theorem (it is obvious from the hypotheses); it looks like it should be trivially proven, but alas, I don't think it can be.

What do you think?

Cheers,

- Thread starter bruno321
- Start date

- #1

- 4

- 0

I'm sure it can be done with the structure theorem (it is obvious from the hypotheses); it looks like it should be trivially proven, but alas, I don't think it can be.

What do you think?

Cheers,

- #2

- 256

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Well it's certainly not true without the finitely generated over a PID hypothesis (just think about free abelian groups of infinite rank), so I'm guessing it's some particular property of finitely generated modules over PIDs. The structure theorem immediately comes to mind.

- #3

- 69

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M + m = n + n.

2m = 2n

m = n

2m = 2n

m = n

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