(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] ring theory question

1. The problem statement, all variables and given/known data

My book says that "if a is an integer relatively prime to n, then the coset a +nZ of nZ containing contains an integer b < n and relatively prime to n."

If 0< a < n, this is obvious. If a > n or 0 > a, I do not see why that statement is true.

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Ring theory question

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