Timeline for Intersection of powers of prime ideals
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| S Oct 26, 2017 at 10:41 | history | suggested | user 1 |
tags edited
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| Oct 26, 2017 at 10:08 | review | Suggested edits | |||
| S Oct 26, 2017 at 10:41 | |||||
| Feb 7, 2015 at 3:48 | answer | added | Jesse Elliott | timeline score: 3 | |
| Feb 6, 2015 at 15:58 | comment | added | dongrugose | yes. $x$ is a non zero-divisor. | |
| Feb 6, 2015 at 5:21 | comment | added | Will Chen | By regular you mean that $x$ is not a zero-divisor? | |
| Feb 5, 2015 at 14:34 | history | edited | dongrugose | CC BY-SA 3.0 |
added 142 characters in body
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| Feb 5, 2015 at 14:18 | comment | added | Francesco Polizzi | Are you sure of this statement? Take $R = k[x,y]/(x^2)$. Then $R$ is Noetherian (quotient of a Noetherian ring) and $R/(x)=k[y]$ is a domain, hence $(x)$ is a prime ideal. Obvioulsy $\cap(x)^n=0$, however $R$ is not a domain because the element $x$ is nilpotent. Am I missing something? | |
| Feb 5, 2015 at 13:41 | history | asked | dongrugose | CC BY-SA 3.0 |