Timeline for prime ideals in regular local rings
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Feb 8, 2011 at 0:01 | comment | added | Koose Muniswamy | @Sandor: Thanks for your clarification. I do realize this, but, I was looking for sufficient conditions for an ideal to satisfy the above property. | |
| Feb 7, 2011 at 22:03 | history | edited | Sándor Kovács | CC BY-SA 2.5 |
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| Feb 7, 2011 at 21:45 | comment | added | Sándor Kovács | @Koose: I suppose I misunderstood your question. However, the same idea shows that any ideal having this property has to be a complete intersection (that is, it is generated by as many elements as its height). | |
| Feb 7, 2011 at 20:16 | comment | added | Koose Muniswamy | @Sandor: Thanks for the answer. I am not familiar with all the terminology here, but this only seems to show that the particular ideal does not satisfy the desired condition. I don't see how it shows there are no other prime ideals satisfying the condition in a regular local ring apart from the family mentioned in the question. | |
| Feb 7, 2011 at 18:07 | history | answered | Sándor Kovács | CC BY-SA 2.5 |