Timeline for Quotients of a ring of integers
Current License: CC BY-SA 4.0
8 events
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Jul 5, 2019 at 22:07 | history | became hot network question | |||
Jul 5, 2019 at 18:13 | history | edited | GreginGre | CC BY-SA 4.0 |
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Jul 5, 2019 at 18:02 | vote | accept | GreginGre | ||
Jul 5, 2019 at 17:09 | history | edited | GreginGre | CC BY-SA 4.0 |
added 255 characters in body
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Jul 5, 2019 at 17:07 | vote | accept | GreginGre | ||
Jul 5, 2019 at 18:01 | |||||
Jul 5, 2019 at 16:23 | answer | added | KConrad | timeline score: 12 | |
Jul 5, 2019 at 14:17 | comment | added | Jason Starr | Here is one counterexample. Let $K$ be $\mathbb{Q}$. Let $L$ be $\mathbb{Q}[s,t]/\langle s^2+s+2,t^2+t+4 \rangle$. Let $p$ be $2$, and let $I$ be $2\mathcal{O}_L$. Then $\mathcal{O}_L/I$ equals $\mathbb{F}_2[s,t]/\langle s^2+s,t^2+t \rangle$. This is isomorphic as an $\mathbb{F}_2$-algebra to a product of four copies of $\mathbb{F}_2$. Yet a monic polynomial has at most two $\mathbb{F}_2$-rational points. | |
Jul 5, 2019 at 13:57 | history | asked | GreginGre | CC BY-SA 4.0 |