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I try to find a obvious of this example: Subring of a Cohen-Macaulay ring is not Cohen-Macaulay. However, I got stuck.

Could you help me say it in more detail? Thanks in advanced.

Soulostar
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1 Answers1

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This question contains the example $$K[x^4, x^3 y, xy^3, y^4] \subseteq K[x,y]$$ where $K$ is a field. Also any integral domain that is not CM can be viewed as a subring of its field of fractions.

user399601
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