Timeline for On the socle of rings
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 16, 2017 at 17:43 | comment | added | rschwieb | @karparvar Jeremy's is also obviously local, so also clean. | |
| Mar 16, 2017 at 17:19 | comment | added | rschwieb | @karparvar yes, obviously: my example is a local ring. | |
| Mar 16, 2017 at 16:27 | comment | added | karparvar | @Jeremy Rickard Is your ring a clean ring? | |
| Mar 16, 2017 at 16:26 | comment | added | karparvar | @rschwieb Is it a clean ring? | |
| May 27, 2014 at 17:53 | comment | added | rschwieb | I had a stock example in mind, but I think it might be isomorphic to this one :) Tacking it on for a second view: form the twisted polynomial ring $k[x;\alpha]$ where $xa:=\alpha(a)x$ for all $a\in k$. Then the ring $R=k[x,\alpha]/(x^2)$ has $soc(R_R)=soc(_RR)=(x)$, and it is simple as a left module but infinitely generated as a right module. | |
| May 27, 2014 at 16:51 | history | answered | Jeremy Rickard | CC BY-SA 3.0 |