Timeline for If two monic polynomials of $\mathbb{Z}_p[X]$ (p-adic integer coefficient) are relatively prime modulo p, then do they generate $\mathbb{Z}_p[X]$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 1, 2019 at 5:27 | answer | added | Minseon Shin | timeline score: 10 | |
| Aug 1, 2019 at 5:08 | history | edited | gualterio | CC BY-SA 4.0 |
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| Aug 1, 2019 at 4:45 | comment | added | gualterio | I'm Sorry for the notation, by $\mathbb{Z}_p$ I mean the ring of p-adic integers. By modulo p, I mean modulo $p\mathbb{Z}_p[X]$. | |
| Aug 1, 2019 at 4:43 | comment | added | KConrad | Your $\mathbf Z_p$ is presumably notation for the integers mod $p$, not the $p$-adic integers. In a PID, if two elements are relatively prime do you know if they generate the ring? | |
| Aug 1, 2019 at 4:24 | comment | added | Seva | Polynomial Bezout identity? | |
| Aug 1, 2019 at 4:20 | history | asked | gualterio | CC BY-SA 4.0 |