Timeline for Idempotent ideal in ring of continuous functions
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 25, 2015 at 23:00 | comment | added | Benjamin Steinberg | Continuous functions on what space? If your space is totally disconnected there can be lots of idempotents | |
| May 25, 2015 at 17:58 | comment | added | HenrikRüping | An interesting idempotent ideal is for example the ideal of all functions that vanish at $0$ and that go faster to $0$ than any polynomial. | |
| May 25, 2015 at 15:51 | comment | added | Benjamin Dickman | Not an answer - truly a comment - but perhaps this can add a shred of context: It is easy to find all the idempotent elements in the ring of continuous functions: the two constant functions, $0$ and $1$ (proof: intermediate value theorem). In a Noetherian ring, every idempotent ideal is generated by an idempotent element; unfortunately, this fact is not of direct use here: the ring of continuous functions is not Noetherian. Hence the question at hand may arise. | |
| May 25, 2015 at 7:44 | review | First posts | |||
| May 25, 2015 at 7:52 | |||||
| May 25, 2015 at 7:41 | history | asked | r.t | CC BY-SA 3.0 |