Construct $R_{70}$ as Šter describes using a field $F$ of characteristic $2$. Let $T$ be the subrng of $\omega\times\omega$ matrices over $R_{70}$ which have only finitely many nonzero entries. The ring $R=T+F\subseteq M_\omega(R_{70})$ is Šter's ring.
Keywords infinite matrix ring subring
| Name | Measure | |
|---|---|---|
| weak global dimension | 0 | 
| Name | Description | 
|---|---|
| Jacobson radical | $\{0\}$ | 
| Left singular ideal | $\{0\}$ | 
| Right singular ideal | $\{0\}$ |