# Cyclic module?

1. May 10, 2007

### pivoxa15

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. May 8, 2008

### mobe

Is it true that the F[$$\lambda$$] module determined by a linear transformation T is
cyclic iff the characteristic polynomial of T equals the minimum polynomial
of T?