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Mutual Multiples in \(Z_n\)

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 \(n\).

Old Node ID: 
1820
Author(s): 
Zun Shan (Nanjing Normal University, China) and Edward T. H. Wang (Wilfried Laurier University, Canada)
Publication Date: 
Tuesday, June 3, 2008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
April, 1999
Subject(s): 
Rings and Ideals
Topic(s): 
Algebraic Structures
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Rating Count: 
98.00
Rating Sum: 
285.00
Rating Average: 
2.91
Author (old format): 
Zun Shan and Edward T. H. Wang
Applicable Course(s): 
4.2 Mod Algebra I & II
4.3 Number Theory
Modify Date: 
Friday, August 24, 2012
Average: 2.9 (98 votes)

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