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Mutual Multiples in \(Z_n\)

by Zun Shan (Nanjing Normal University, China) and Edward T. H. Wang (Wilfried Laurier University, Canada)

This article originally appeared in:
Mathematics Magazine
April, 1999

Subject classification(s): Rings and Ideals
Applicable Course(s): 4.2 Mod Algebra I & II | 4.3 Number Theory

If two elements in a ring are multiples of each other, are they necessarily unit multiples? In general, the answer is no; it is yes for the integers mod \(n\).

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Capsule Course Topic(s):
Number Theory | Algebraic Structures
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