Hello, I guess these problems are not supposed to be very hard, but I am confused. 1. Let . Prove that if and only if there exists such that . 2. Prove that if with and , then . Thanks in advance.
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Let be a prime divisor of . Since has to divise or (because is irreducible). But doesn't divide Hence and that is true for any prime divisor of Therefore (Be more precise than me to show that )
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