Timeline for Reference for integral extensions of $\mathbb{Z}/p^k\mathbb{Z}$
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 27, 2020 at 5:47 | vote | accept | Niareh | ||
| Dec 25, 2020 at 1:28 | answer | added | Achim Krause | timeline score: 4 | |
| Dec 25, 2020 at 0:02 | answer | added | kodlu | timeline score: 1 | |
| Dec 24, 2020 at 23:21 | history | edited | YCor | CC BY-SA 4.0 |
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| Dec 24, 2020 at 21:02 | comment | added | Niareh | Yeah, I am looking for flat and injective examples. In particular, I am thinking of cases of the form $\mathbb{Z}[x]/(p^k,f(x))$ where you can take $f$ to be of degree $n$ and irreducible degree $n$ mod $p$. | |
| Dec 24, 2020 at 19:55 | comment | added | Achim Krause | Are you also requiring some kind of flatness, or is something like $\mathbb{Z}/p^k[x]/(x^2, px)$ also included? What about $\mathbb{Z}/p$ (as a $\mathbb{Z}/p^k$-algebra, i.e. does "extension" mean that the map is injective?) | |
| Dec 24, 2020 at 19:06 | history | asked | Niareh | CC BY-SA 4.0 |