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	Qualifying exam, Spring 2006, DayLet φ : A → B be a homomorphism of commutative rings, and let pB ⊂ B be a maximal ideal. Set A ⊃ pA := φ−1 (pB ). (a) Show that pA is prime but in general non maximal. (b Add to Reading List Document Date: 2016-02-04 13:15:17 Open Document File Size: 73,40 KB Share Result on Facebook

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Qualifying exam, Spring 2006, DayLet φ : A → B be a homomorphism of commutative rings, and let pB ⊂ B be a maximal ideal. Set A ⊃ pA := φ−1 (pB ). (a) Show that pA is prime but in general non maximal. (bAdd to Reading List