A commutative ring $R$ is **Noetherian** if for every ascending chain of ideals
$$ I_1\subseteq I_2\subseteq I_3\subseteq \cdots $$
there exists $N$ such that for all $n\geq N$, $I_n=I_N$.

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- Review status: reviewed
- Last edited by John Jones on 2018-08-06 03:56:40

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- 2018-08-06 03:56:40 by John Jones (Reviewed)