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Let f1, f2, . . . ∈ k[x1, . . . , xn ] be an...

Let f1, f2, . . . ∈ k[x1, . . . , xn ] be an infinite collection of polynomials and let I = < f1, f2, . . .> be the ideal they generate. Prove that there is an integer N such that I = . Hint: Use f1, f2, . . . to create an ascending chain of ideal

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