Let p be a prime divisor of a positive integer n. Prove that p is irreduciblein Zn if and only if p2 divides n.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 19E: Prove that if n is a positive integer greater than 1 such that n is not a prime, then n has a...
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Let p be a prime divisor of a positive integer n. Prove that p is irreducible
in Zn if and only if p2 divides n.

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