Timeline for What are the p-adic algebraic numbers?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 12, 2021 at 19:21 | comment | added | Alex Kruckman | @YaakovBaruch Sure, I agree with you that this question is not well-posed. But to me, the OP's last paragraph suggests this interpretation. | |
| Jan 12, 2021 at 19:12 | comment | added | Yaakov Baruch | @AlexKruckman But how do you "give" the $p$-adic number? There is no criterion for a given real to tell of it is algebraic after all, at least in any common meaning of "given". | |
| Jan 12, 2021 at 19:07 | comment | added | Alex Kruckman | Or perhaps the converse: given a $p$-adic number, the OP is looking for a criterion to determine if it is algebraic over $\mathbb{Q}$? @YaakovBaruch | |
| Jan 12, 2021 at 18:37 | comment | added | Yaakov Baruch | Are you not satisfied with the answers to the other question because, for example, given a polynomial in $\mathbb{Q}[X]$ they don't explicitly give a criterion to tell if it has roots in $\mathbb{Q}_p$? | |
| Jan 12, 2021 at 17:17 | answer | added | reuns | timeline score: 2 | |
| Jan 12, 2021 at 15:11 | comment | added | Wojowu | You have one such characterization in the linked thread, namely as a Henselization. I wouldn't expect a description much more explicit than that. | |
| Jan 12, 2021 at 14:54 | history | asked | yoyo | CC BY-SA 4.0 |