Timeline for Intuition behind Principal Ideal Domain
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jan 4, 2022 at 16:30 | history | edited | 温泽海 | CC BY-SA 4.0 |
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| Jan 4, 2022 at 1:24 | comment | added | Torsten Schoeneberg | @ArturoMagidin: I think OP refers to the fact that in a PID, nonzero prime ideals are maximal. (Since there are non-PIDs where this is true, it is doubtful how much this fact would help to visualize PIDs, whatever that might mean ...) | |
| Jan 3, 2022 at 16:24 | comment | added | Lee Mosher | How much algebraic number theory do you know? Principal ideals and principal ideal domains play a particularly prominent role in the study of rings of integers in number fields (over, say, $\mathbb Q$). | |
| Jan 3, 2022 at 16:02 | history | edited | 温泽海 | CC BY-SA 4.0 |
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| Jan 3, 2022 at 5:49 | comment | added | Arturo Magidin | Maximal ideals are prime, not necessarily the other way around. $(x)$ is prime in $\mathbb{Z}[x]$, but not maximal. | |
| Jan 3, 2022 at 5:48 | history | edited | Arturo Magidin | CC BY-SA 4.0 |
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| Jan 3, 2022 at 5:46 | comment | added | Torsten Schoeneberg | It's "principal" not "principle". | |
| Jan 3, 2022 at 5:35 | answer | added | Steven Creech | timeline score: 4 | |
| Jan 3, 2022 at 5:06 | history | asked | 温泽海 | CC BY-SA 4.0 |