Timeline for Is there a (nontrivial) known example of an algebra over a complete regular local ring with the following property?
Current License: CC BY-SA 3.0
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| Jul 31, 2017 at 7:23 | history | edited | Homa81 | CC BY-SA 3.0 |
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| Jul 31, 2017 at 7:15 | history | edited | Homa81 | CC BY-SA 3.0 |
deleted 82 characters in body; edited title
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| Jul 31, 2017 at 5:56 | comment | added | Homa81 | You are right. I added the global dimension condition in the final step and I didn't notice that this ring is a regular local ring and o it is CM. But can we give an example of an algebra as above with infinite global dimension? I mean, I am looking for an algebra with the above properties with infinite global dimension over a complete regular local ring. | |
| Jul 30, 2017 at 19:38 | comment | added | Jason Starr | Are you considering some version of "complete Cohen-Macaulay" that applies in the non-Noetherian case? If your local ring is Noetherian of finite global dimension, then it is regular. Is there a reason that you do not just say that $R$ is regular? | |
| Jul 30, 2017 at 19:32 | history | asked | Homa81 | CC BY-SA 3.0 |