I am facing this problem:
Prove that there is a bijection between the monic divisors of $x^n−1$ in $F[x]$ and the ideals of $F[x]/\left<x^n−1\right>$.
I tried to find how the ideals in $F[x]/\left<x^n−1\right>$ are represented and find the connection to the monic divisors but I did not find any connection.
I think I am missing something very clear. Any suggestions?