Let $R$ be a local Cohen-Macaulay ring of dimension $\le 2$. Does there necessarily exist an ideal $J$ of $R$ such that $\sqrt J$ is a minimal prime ideal of $R$ and $R/J$ is Cohen-Macaulay ?
2026-02-23 00:28:58.1771806538
Existence of ideal in Cohen-Macaulay ring, going modulo which still gives Cohen-Macaulay
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