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Cyclic module?

  1. May 10, 2007 #1
    1. The problem statement, all variables and given/known data
    If an R module M is cyclic so M=Rm with annihilator(m)=(p), p prime

    then can we infer that M is isomorphic to R/(p) without any more infomation?
  2. jcsd
  3. May 8, 2008 #2
    Is it true that the F[[tex]\lambda[/tex]] module determined by a linear transformation T is
    cyclic iff the characteristic polynomial of T equals the minimum polynomial
    of T?
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