Let n be a positive integer and p a prime that divides n.
Chapter 18, Problem 29E(choose chapter or problem)
Let n be a positive integer and p a prime that divides n. Prove that p is prime in Zn. (See Exercise 28).Reference:For a commutative ring with unity we may define associates, irreducibles, and primes exactly as we did for integral domains. With these definitions, show that both 2 and 3 are prime in Z12 but 2 is irreducible and 3 is not.
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