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 | $\{0\}$ |