Timeline for An example of a special $1$-dimensional non-Noetherian valuation domain
Current License: CC BY-SA 4.0
8 events
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Sep 25, 2020 at 21:03 | 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. | |
Aug 26, 2020 at 19:20 | history | edited | YCor |
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Aug 26, 2020 at 18:00 | 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 27, 2020 at 17:31 | answer | added | Badam Baplan | timeline score: 1 | |
Jul 21, 2020 at 6:19 | history | edited | leo monsaingeon | CC BY-SA 4.0 |
fixed a typo
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Jul 21, 2020 at 5:12 | comment | added | Pavel Čoupek | This does not exist. The fact that a valuation ring has dimension $1$ is equivalent to the value group being "rank $1$", i.e. archimedean, which in turns translates to the property of the valuation ring: For any two nonzero elements $a, b$, there is $n$ such that $(b^n) \subseteq (a)$. The condition on ideals you impose would in fact mean that the valuation is of "infinite rank", which translates to $R$ having infinite dimension. | |
Jul 21, 2020 at 5:00 | review | First posts | |||
Jul 21, 2020 at 6:19 | |||||
Jul 21, 2020 at 4:53 | history | asked | S. T. Stanly | CC BY-SA 4.0 |