Question: 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!

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

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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