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Prove that P(R) is not finitely generated over R. Hint: Suppose p1, . . . ,...

Prove that P(R) is not finitely generated over R. Hint: Suppose p1, . . . , pn ∈ P(R). Find p ∈ P(R) such that p /∈ Span{p1, . . . , pn}.

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