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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: beta
• Last edited by John Jones on 2018-08-06 03:56:40
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