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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 …
S.Hamid  Hassanzadeh's user avatar
4 votes
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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 …
S.Hamid  Hassanzadeh's user avatar