Timeline for Completion reducing to localization on Noetherian rings
Current License: CC BY-SA 4.0
6 events
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May 6, 2022 at 19:22 | comment | added | Z. M | There is an ambiguity: what is the completion $A_{\mathfrak p}$? There are two possibilities: either take the $\mathfrak p$-adic completion, or first localize at $\mathfrak p$ then complete the local ring. It seems that A.G's answer is taking the former, but the later seems more reasonable. If you take the later, you could start with a local domain, and ask whether it is some sort of intersection of the completion and its fraction field? | |
May 6, 2022 at 14:22 | history | edited | Hair80 | CC BY-SA 4.0 |
deleted 28 characters in body
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May 6, 2022 at 13:32 | answer | added | A.G | timeline score: 1 | |
May 6, 2022 at 10:06 | comment | added | LSpice |
TeX note: use $\operatorname{Spec} A$ $\operatorname{Spec} A$ , not $Spec$ $A$ $Spec$ $A$ . I have edited accordingly.
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May 6, 2022 at 10:06 | history | edited | LSpice | CC BY-SA 4.0 |
Capitalise title; `\operatorname{Spec}`
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May 6, 2022 at 7:28 | history | asked | Hair80 | CC BY-SA 4.0 |