Is $\mathbb Z_4$ a UFD (unique factorization domain) ?
I know that $\mathbb Z_4$ is not a field, as $\mathbb Z$ is not a field but $\mathbb Z$ is a UFD, so $\mathbb Z_4$ is also UFD...
Is my thinking is correct or not ?
2026-03-30 05:26:35.1774848395
Is $\mathbb Z_4$ a UFD (unique factorization domain)?
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In order to be a UFD it must be an integral domain. If $n$ is not prime, ask yourself, what equivalence class do the product of the factors of $n$ land in inside $\mathbf{Z}_n$?