Timeline for Is the ring of power series with $p$-adic coefficients Huber?
Current License: CC BY-SA 4.0
5 events
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Dec 20, 2022 at 19:38 | comment | added | Alex Mathers | If you have an ring of definition $A_0\subseteq A$ of a Huber ring where $A_0$ has the $x$-adic topology for an element $x$ which is a unit in $A$, then automatically $A=A_0[x^{-1}]$. So in particular this shows it is impossible for $\mathbb Z_p\langle t\rangle$ to be a ring of definition with the $p$-adic topology | |
Dec 20, 2022 at 16:35 | history | edited | Noam Zimhoni | CC BY-SA 4.0 |
added 46 characters in body
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Dec 20, 2022 at 16:33 | comment | added | Noam Zimhoni | Yes, thank you. I'll edit something about it. | |
Dec 20, 2022 at 16:19 | comment | added | R. van Dobben de Bruyn | Of course you can take the $t$-adic valuation (which is trivial when restricted to $\mathbf Q_p$), but I don't think that's what you want, right? | |
Dec 20, 2022 at 15:21 | history | asked | Noam Zimhoni | CC BY-SA 4.0 |