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Polynomial ring over ring a and q is a p-primary ideal of a

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Reference no: EM131586727

Question: Let B = A[x] be a polynomial ring over a ring A and let I be an ideal of A. Prove (A/I)[x] B/IB, where the left-hand side is a polynomial ring with coefficients in A/I? If B = A[x] is a polynomial ring over a ring A and q is a p-primary ideal of A, then qB is a pB-primary ideal of B.

Reference no: EM131586727

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