Skip to main content

Timeline for Quotients of a ring of integers

Current License: CC BY-SA 4.0

8 events
when toggle format what by license comment
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
deleted 288 characters in body
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
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