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Please answer and explain both 7.58 and 7.59. Thank you! EXERCISE 7.58. Let n pq, where p and q are distinct primes. Show that we

Please answer and explain both 7.58 and 7.59. Thank you!

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EXERCISE 7.58. Let n pq, where p and q are distinct primes. Show that we have a ring isomorphism Zn(X] Zp(??? ????] EXERCISE 7.59. Let p be a prime with p 1 (mod 4). Show that we have a ring isomorphism Z(X)/(X2 + 1, p)-Zpx Zp. EXERCISE 7.58. Let n pq, where p and q are distinct primes. Show that we have a ring isomorphism Zn(X] Zp(??? ????] EXERCISE 7.59. Let p be a prime with p 1 (mod 4). Show that we have a ring isomorphism Z(X)/(X2 + 1, p)-Zpx Zp

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