R Module M is Cyclic: Isomorphic to R/(p)?

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Homework Statement


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?
 
Physics news on Phys.org
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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