Use the Chinese remainder theorem to show that an integer a, with 0 ≤ a < m = m1m2⋯mn, where the positive integers m1, m2,…, mn are pairwise relatively prime, can be represented uniquely by the n-tuple (a mod m1, a mod m2,…, a mod mn).

Use the Chinese remainder theorem to show that an integer a, with 0 ≤ a < m = m1m2⋯mn, where the positive integers m1, m2,…, mn are pairwise relatively prime, can be represented uniquely by the n-tuple (a mod m1, a mod m2,…, a mod mn).

Name: Use the Chinese remainder theorem to show that an integer a, with 0 ≤
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Description: Use the Chinese remainder theorem to show that an integer a, with 0 ≤ a < m = m1m2⋯mn, where the positive integers m1, m2,…, mn are pairwise relatively prime, can be represented uniquely by the n-tuple (a mod m1, a mod m2,…, a mod mn).

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.5: Congruence Of Integers

Problem 55E: 55. Prove the Chinese Remainder Theorem: Let , , . . . , be pairwise relatively prime. There exists...

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