Structure theorem of modules over P.I.D.

Structure theorem of modules over P.I.D. [closed]

-1

If the finitely generated module M over the principal ideal domain R has invariant factors d_1,d_2,...,d_r,show that the invariant factors of every non-zero submodule of M are certain divisors a_t,...,a_s of d_t,...,d_r for some t .

flag	asked Nov 20 2011 at 5:14 shraddha 1

You should be able to find this result in any standard algebra text. It's not a suitable question for Math Overflow. – Zack Wolske Nov 20 2011 at 5:26

This sounds like homework. I voted to close. – Andy Putman Nov 20 2011 at 5:46

@shraddha: I would like to extended @Andy's comment, which is that this question sounds like homework (and so I have also voted to close). That doesn't mean it is homework, but if it isn't, the burden is on you to improve the question. A place to start is to read carefully mathoverflow.net/howtoask and mathoverflow.net/faq . – Theo Johnson-Freyd Nov 20 2011 at 5:50

Thanks to all.I could solve it. – shraddha Nov 20 2011 at 10:43

closed as too localized by Daniel Litt, Andy Putman, Theo Johnson-Freyd, Mark Sapir, Tony Huynh Nov 20 2011 at 6:21

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