Timeline for Maximal ideals of some algebras
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 26, 2011 at 15:17 | comment | added | Yemon Choi | MTS: oh, good point, was being too hasty. | |
| Jul 26, 2011 at 14:07 | comment | added | MTS | Well, the Zorn's lemma thing is not so clear to me. I thought about that, but it seems to me that you need the algebra to be unital in order to conclude that the union of a chain of proper ideals is again proper. | |
| Jul 26, 2011 at 11:00 | comment | added | Yemon Choi | +1 for a clear example of a non-modular ideal. In fact it is certainly contained in a maximal proper ideal by Zorn's lemma, the point is that this maximal ideal is not closed in the algebra. I have a vague recollection of something like this question being discussed elsewhere on MO (ideals in rings of continuous functions) | |
| Jul 26, 2011 at 4:29 | history | answered | MTS | CC BY-SA 3.0 |