Timeline for Regular local artinian k-algebra with residue field k is k
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 13, 2018 at 2:37 | comment | added | M.G. | @dorebell: good point! Thanks for mentioning this! | |
| Sep 13, 2018 at 1:59 | comment | added | dorebell | Note that it's even true that an artin local ring $k$ which is reduced is equal to its residue field. This is because the unique prime ideal of an artin local ring is its nilradical (the nilradical is always the intersection of all prime ideals). It's also equivalent to the other statement since reduced = regular in codimension $0$. | |
| Sep 12, 2018 at 18:31 | comment | added | M.G. | @AnKhuongDoan: you are most welcome! | |
| Sep 12, 2018 at 16:52 | vote | accept | An Khuong Doan | ||
| Sep 12, 2018 at 16:41 | history | answered | M.G. | CC BY-SA 4.0 |