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Unformatted text preview: R is a UFD. (2 points) 4. Section 9.2, Exercise 3 on page 301. (2 points) 5. Let R be an integral domain and let P be a prime ideal of R . Prove or give a counterexample to each of the following statements. (a) If R is a PID, then R / P is also a PID. (b) If R is a UFD, then R / P is also a UFD. (3 points) (5 problems, 13 points altogether)...
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 Fall '07
 PALinnell
 Math, Algebra

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