Timeline for On the socle of rings
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 27, 2014 at 16:51 | answer | added | Jeremy Rickard | timeline score: 2 | |
| May 24, 2014 at 11:07 | comment | added | Jeremy Rickard | What do you mean by the socle of a ring? The left socle (sum of all simple left ideals) and right socle (sum of all simple right ideals) are different in general, which makes a difference since your question is not left/right symmetric. Mariano's example has right socle cyclic as a left ideal and two-generator as a right ideal, and left socle infinitely generated as a left ideal and cyclic as a right ideal. (So strictly speaking doesn't answer the question, but the opposite ring does if you mean right socle, but not if you mean left socle.) | |
| May 23, 2014 at 23:35 | comment | added | Mariano Suárez-Álvarez | Does the matrix ring $\begin{pmatrix}\mathbb Q&\mathbb R\\0&\mathbb R\end{pmatrix}$ do? | |
| May 23, 2014 at 15:23 | review | First posts | |||
| May 23, 2014 at 15:26 | |||||
| May 23, 2014 at 15:06 | history | asked | Hue2012 | CC BY-SA 3.0 |