Timeline for Is the radical of an irreducible ideal irreducible?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 14, 2012 at 1:31 | comment | added | Pham Hung Quy | In my edit: $(0)$ is irreducible but not primary. I think the radical of any primary ideal is prime (any prime ideal is irreducible). In my example $(0)$ is not primary. | |
| Feb 13, 2012 at 16:19 | comment | added | Pierre-Yves Gaillard | Dear Pham Hung Quy: Thanks for having answered my comment. I'm sorry, I still don't see the point of your edit, because I think it is a standard fact that the radical of any primary ideal is irreducible. | |
| Feb 13, 2012 at 10:53 | comment | added | Pham Hung Quy | Yes, if I is a primary ideal, then its radical is prime. | |
| Feb 13, 2012 at 8:57 | comment | added | Pierre-Yves Gaillard | Dear Pham Hung Quy: About your edit: It seems to me that if 0 was primary, its radical would be prime, and thus irreducible. | |
| Feb 13, 2012 at 7:46 | history | edited | Pham Hung Quy | CC BY-SA 3.0 |
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| Feb 11, 2012 at 19:54 | comment | added | David E Speyer | Very pretty! I need to remember this example in case I teach commutative algebra. | |
| Feb 11, 2012 at 18:25 | history | answered | Pham Hung Quy | CC BY-SA 3.0 |