Proof. As a PID is Noetherian this follows from Lemma 10.120.6. $\square$

There are also:

• 9 comment(s) on Section 10.120: Factorization

In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the toolbar).