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Solved: If m and n are relatively prime integers greater
Chapter 14, Problem 2SE(choose chapter or problem)
QUESTION:
If m and n are relatively prime integers greater than 1, prove that Zmn has at least two idempotents besides 0 and 1.
Questions & Answers
QUESTION:
If m and n are relatively prime integers greater than 1, prove that Zmn has at least two idempotents besides 0 and 1.
ANSWER:Step 1 of 4
The greatest common divisor of two nonzero integers and is the largest of all common divisors of and .
We denote this integer by . When , we say and are relatively prime". We obtain .