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It's been some time since I've done ring theory, so please bear with me. Suppose $I$ is an ideal generated by some $x\in R$ where $R$ is a ring -- so $I=(x)$, and the multiplicative identity $1\in (x)$ then does that mean that all elements in $I$ are units?

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    Hint: $0 \in I$.2012-02-14

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