Question: exercise 2 let r s be commutative rings and let...
Exercise 2. Let R, S be commutative rings, and let f : R → S be a ring-homomorphism. Let Q be a prime ideal of S, and set P = (Q).
(1) Show that there exists an injective homomorphism R/P → S/Q.
(2) Show that P is a prime ideal of R.