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For questions on modules over rings.
-2
votes
Maximal Cohen-Macaulay modules of type one
The Following is my communications with Olgur Celikbas in researchgate:
Ogler:You may want to check: $R=k[[x,y]]/(x^2, xy)$ and $M=R/(x)$
me:does still such an emaple exist if we suppose that R is …
4
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2
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Maximal Cohen-Macaulay modules of type one
Does anybody know an example of a Noetherian local ring $(R,m)$ which admits a maximal Cohen-Macaulay module of type one, but the ring $R$ itself is not CM?
If $C$ is a maximal CM module then the …