Let : R S be an epimorphism of commutative rings with identity. If J is an

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Let ∫: R → S be an epimorphism of commutative rings with identity. If J is an ideal of S, let I = ∫^-1(J).

(a) Then ∫ is primary in R if and only if J is primary in S.

(b) If J is primary for P, then I is primary for the prime ideal ∫^-1(P).

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Aug 18, 2023 06:25 AM

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Let : R S be an epimorphism of commutative rings with identity. If J is an

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Algebra Graduate Texts In Mathematics 73

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