Timeline for Abstract number ring of any characteristic
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Aug 15, 2012 at 22:36 | history | edited | Ramsey | CC BY-SA 3.0 |
fixed latex rendering (racther hackily), spacing, and wording (slightly)
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| Aug 15, 2012 at 21:37 | vote | accept | CommunityBot | ||
| Aug 15, 2012 at 21:21 | answer | added | Andreas Blass | timeline score: 1 | |
| Aug 15, 2012 at 21:08 | history | edited | user16974 | CC BY-SA 3.0 |
deleted 21 characters in body
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| Aug 15, 2012 at 21:01 | comment | added | KConrad | Your question is written in the wrong order. You don't want to first introduce the ring and its ideals, and only then bring in the numbers $n_i$, but rather first introduce a sequence of positive integers $n_1, n_2,\dots$ and then ask if there is a $D$ with its ideals enumerable as $I_1, I_2,\dots$ such that $D/I_i$ has size $n_i$ for all $i$. | |
| Aug 15, 2012 at 20:58 | comment | added | user16974 | What about characteristic $p>0$? The tuple $(n_1,n_2,\ldots)$ is given. | |
| Aug 15, 2012 at 20:51 | comment | added | Alexander Gruber | Couldn't $D=\mathbb{Z}$, $I_k=k\mathbb{Z}$ for all $k>1$, and the tuple simply be $\mathbb{N}$? Or am I misunderstanding your notation? | |
| Aug 15, 2012 at 20:36 | history | asked | user16974 | CC BY-SA 3.0 |