Timeline for about the local ring of $\mathbb{Z}_p[T]/(pT^2+T+1)$ at the prime p
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| May 17, 2012 at 10:33 | vote | accept | Heer | ||
| May 17, 2012 at 2:27 | comment | added | Lubin | Although I always prefer Newton poly., factorization follows also from Hensel’s Lemma, with the one polynomial in char. $p$ being $1+x$ and the other being $1$. HL guarantees a factor of degree $1$. | |
| May 16, 2012 at 21:45 | comment | added | Maurizio Monge | Another way to see immediately that the equation has a solution is via Newton's polygon: it is formed by two sides with slopes 0 and 1, and each corresponds to a non-trivial factor, having degree 1. | |
| May 16, 2012 at 21:24 | history | answered | Will Sawin | CC BY-SA 3.0 |