Timeline for What goes wrong in a ring that does not have unique factorization?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jul 2, 2011 at 1:38 | vote | accept | teil | ||
| Jun 1, 2010 at 5:54 | comment | added | Gerry Myerson | @Pete, I would say unique factorization into ideals is the solution of the problem caused by the failure of unique factorization into elements; I interpreted the question to be about problems caused by the failure of unique factorization into elements. If OP wants to know why unique factorization into ideals is such a desirable property, I'd nominate the Dedekind zeta functions as part of the answer. | |
| Jun 1, 2010 at 5:16 | comment | added | Pete L. Clark | Your last statement seems dubious to me: Dedekind zeta functions also have Euler products. The key property for this is unique factorization of ideals, i.e., that the ring of integers of a number field is a Dedekind domain. | |
| Jun 1, 2010 at 4:06 | history | answered | Gerry Myerson | CC BY-SA 2.5 |