Timeline for Intuitive Example of a Jacobson Radical
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8, 2009 at 15:18 | comment | added | Qiaochu Yuan | en.wikipedia.org/wiki/Algebraic_variety#Affine_varieties | |
| Nov 8, 2009 at 2:59 | comment | added | Casebash | What do you mean by variety? | |
| Oct 31, 2009 at 3:26 | comment | added | Greg Stevenson | And the exact statement extends to Jacobson rings for which the notions of nilradical and Jacobson radical coincide so a function is nilpotent iff it vanishes at the closed points. | |
| Oct 31, 2009 at 0:40 | comment | added | Ian Shipman | this answer actually extends to arbitrary commutative rings in a sense. the jacobson radical is the intersection of all of the maximal ideals of your ring R. maximal ideals are closed, or geometric, points of spec R. so the jacobson radical consists of functions on spec R that vanish at every geometric point. | |
| Oct 30, 2009 at 23:28 | history | answered | Qiaochu Yuan | CC BY-SA 2.5 |