Timeline for Kaplansky's theorem for graded local rings
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 23, 2011 at 10:02 | vote | accept | Hanno | ||
| Nov 17, 2010 at 22:24 | comment | added | Georges Elencwajg | Ah, I was really off base with my suggestion! Thanks for the bibliography. | |
| Nov 17, 2010 at 22:04 | comment | added | Neil Strickland | @Georges: no, BP stands for Brown-Peterson here. See for example this book: goo.gl/snmbm or Wikipedia: en.wikipedia.org/wiki/Brown%E2%80%93Peterson_cohomology | |
| Nov 17, 2010 at 21:48 | comment | added | Georges Elencwajg | Thank you for the example, Neil. Unfortunately, I don't know what stable homotopy theory is. But the ring you mention reminds me of the cohomology of infinite projective space . Does the $B$ in $BP_\ast$ stand for "classifying space" ? | |
| Nov 17, 2010 at 15:26 | comment | added | Neil Strickland | @Georges: you are correct. (In stable homotopy theory we care about the case $R_*=BP_*=\mathbb{Z}_{(p)}[v_1,v_2,\dotsc]$ with $|v_i|=2(p^i-1)$, and of course that one is not Noetherian.) | |
| Nov 17, 2010 at 14:52 | comment | added | Georges Elencwajg | Dear Neil, the OP's hypothesis that the graded ring be Noetherian is not necessary, is it? | |
| Nov 17, 2010 at 13:07 | history | answered | Neil Strickland | CC BY-SA 2.5 |