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# (Solved): 2. Let R Be A PID And A, B, C ER. Suppose A And B Are Relatively Prime. Show That If A And B Divide ...

2. Let R be a PID and a, b, c ER. Suppose a and b are relatively prime. Show that if a and b divide c, then so does ab. Conclude that (a) n (b) = (ab). (Recall that we say a, b are relatively prime if (a, b) = R.)

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