Timeline for Examples of common false beliefs in mathematics
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 3, 2020 at 6:17 | comment | added | Nick S | A similar eample is $\mathbb Z/4 \mathbb Z[t]$. For each $n$ the element $2t^n$ is a root of $x^2=0$. | |
| Apr 20, 2016 at 20:31 | comment | added | Gro-Tsen | @OmarAntolín-Camarena Oh right, what I wanted to write was $x^2-x$, and I got confused between "idempotent" and "one-potent"(?). But of course $x^2-1$ also works provided, as you point out, that $1\neq -1$ in $k$. | |
| Apr 20, 2016 at 17:36 | comment | added | Omar Antolín-Camarena | Doesn't it only have one solution in $k^\mathbb{N}$ if $k$ has characteristic 2, @Gro-Tsen? | |
| Apr 20, 2016 at 17:00 | comment | added | Gro-Tsen | To answer your last question, $x^2-1$ has an infinite number of roots in $k^{\mathbb{N}}$ for any nonzero ring $k$. So, no. | |
| S Apr 20, 2016 at 16:30 | history | answered | Jacob White | CC BY-SA 3.0 | |
| S Apr 20, 2016 at 16:30 | history | made wiki | Post Made Community Wiki by Jacob White |