Question: I need help solving this problem. Problem 3: Let R be a Principal Ideal Domain, and let F be its field of quotients. Show that

I need help solving this problem.

Problem 3: Let R be a Principal Ideal Domain, and let F be its field of quotients. Show that any intermediate ring S, RC S C F, is also a Principal Ideal Domain. HINT: If / is an ideal in S, look at In R.]

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