Timeline for Does every prime power generate a primary ideal?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2020 at 1:03 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jul 4, 2020 at 0:16 | answer | added | tomasz | timeline score: 1 | |
| Jun 11, 2016 at 10:46 | comment | added | matthias.p | @YCor But in $(\mathbf Z/4\mathbf Z)[t]/(t^2,2t)$, $t$ is not a prime element, because $2\cdot2\in(t)$, but $2\notin(t)$. | |
| Jun 10, 2016 at 16:16 | comment | added | YCor | And it's false also in artinian rings (replace $\mathbf{Z}$ with $\mathbf{Z}/4\mathbf{Z}$), and in reduced noetherian rings (replace $\mathbf{Z}[t]/(t^2,2t)$ with $\mathbf{Z}[t]/(t^2-2t)$. | |
| Jun 10, 2016 at 16:15 | comment | added | matthias.p | @YCor Thanks! So even in Noetherian rings this is false (while I've found books that state the opposite...) | |
| Jun 10, 2016 at 15:49 | comment | added | YCor | $R=\mathbf{Z}[t]/(t^2,2t)$; $k=2$, $a=2$, $b=p=t$. | |
| Jun 10, 2016 at 15:43 | review | First posts | |||
| Jun 10, 2016 at 16:15 | |||||
| Jun 10, 2016 at 15:39 | history | asked | matthias.p | CC BY-SA 3.0 |