Why there is a minimal element of this set

Question

I'm trying to understand this proof:

I know intuitively, but Why formally there is such a minimal element?

I need help

Thanks

That's from Fulton's book on Algebraic Curves no? The answer to your question is exactly above the theorem you are sharing with us, i.e. between the Lemma and Theorem 2 on page 8. — Nils Matthes, Feb 15 '14 at 13:14

score 0 · Answer 1 · answered Feb 17 '14 at 00:46

0

Because we are supposing this set is non-empty and $\mathbb A^n$ is noetherian, the result follows easily.

answered Feb 17 '14 at 00:46

user42912

1 Answers1