Corollary 11.6

Return to Theorems, Glossary, Homework Problems.


The group $\Pi_{i=1}^n \mathbb{Z}_{m_i}$ is cyclic and isomorphic to $\mathbb {Z}_{m_1m_2 \cdots m_n}$ if and only if the numbers $m_i$ for $i=1, \cdots , n$ are such that the gcd of any two of them is $1$.


Refer to Theorem 11.5.

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