As the name suggested, is there a non-reduced Noetherian dimension 1 Cohen-Macaulay ring? I know that all reduced Noetherian ring with dimension 1 is Cohen-Macaulay, however it seems difficult for me to create a concrete example of non-reduced Cohen-Macaulay ring with dimension 1.
2026-03-26 04:32:28.1774499548
Example of non-reduced Noetherian dimension 1 Cohen-Macaulay ring.
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