Timeline for Injective hulls of quotient rings $R/p$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jul 19, 2022 at 21:18 | comment | added | PrimeRibeyeDeal | Chapters 2, 3 of Hochster's Local Cohomology are one good reference for this stuff. | |
| Mar 11, 2021 at 18:51 | comment | added | Friedrich Knop | For noetherian rings there is the paper of Matlis from 1958. | |
| Mar 11, 2021 at 18:08 | comment | added | YCor | I'm not aware of a reference. I think this follows from basic properties of Matlis duality. | |
| Mar 11, 2021 at 17:41 | comment | added | user267839 | do you know where a proof of this result can be found? | |
| Mar 11, 2021 at 17:30 | comment | added | YCor | If $p$ is maximal, $R/p$ is Artinian and its injective hull as $R$-module is the same as its injective hull as $R_p$-module or equivalently $\widehat{R_p}$, and this is the Matlis dual of $\widehat{R_p}$ as $\widehat{R_p}$-module. | |
| Mar 11, 2021 at 17:27 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Mar 11, 2021 at 17:23 | history | asked | user267839 | CC BY-SA 4.0 |