Timeline for $R/I\cong R/\text{Ann}_R(R/I)$ but $I\neq\text{Ann}_R(R/I)$
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 18, 2020 at 10:18 | vote | accept | Anonymous | ||
| Sep 18, 2020 at 9:01 | answer | added | Simon Wadsley | timeline score: 4 | |
| Sep 18, 2020 at 8:26 | comment | added | Anonymous | That map is not surjective is it? What would map to the coset $1+I$? I was thinking about using free rings as well, but couldn't think of a way to make it work. Maybe there's a way though. | |
| Sep 18, 2020 at 7:23 | comment | added | user130903 | How about taking the ring freely generated by two non-commuting variables $X$ and $Y$. Set $I=RX$. Then the annihilator is zero and the map $w\mapsto wY$ is an isomorphism form $R$ to $R/I$. | |
| Sep 18, 2020 at 4:43 | history | asked | Anonymous | CC BY-SA 4.0 |