Hw12 Problem 8

Return to Homework 12, Glossary, Theorems

Problem: List the zero divisors in $\mathbb{Z}_9$.


Solution: Theorem 19.3 tells us that the zero divisors of $\mathbb{Z}_9$ are simply the nonzero elements that are not relatively prime to 9. Therefore, the zero divisors are 3 and 6.

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