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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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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