et n₁,..., n be positive integers, and let n = n₁ nk. Show that if n₁,..., are not pairwise relatively prime, then ZnZn₁ X ... x Zink nk

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 51E
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1. Let n₁,..., ng be positive integers, and let n = n₁·. nk. Show that if n₁,...,nk
are not pairwise relatively prime, then ZnZn₁ ו••× Zink.
●
Transcribed Image Text:1. Let n₁,..., ng be positive integers, and let n = n₁·. nk. Show that if n₁,...,nk are not pairwise relatively prime, then ZnZn₁ ו••× Zink. ●
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