Referring to Exercise 32, give an example of an ideal N in R[x, y] such that I(V(N))
Question:
Referring to Exercise 32, give an example of an ideal N in R[x, y] such that I(V(N)) ≠ N.
Data from Exercise 32
Let F be a field. Show that if S is a nonempty subset of Fn, then I(S) = {f(x) ∈ F[x]|f(s) = 0 for all s ∈ S} is an ideal of F[x].
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