| Name | Measure | |
|---|---|---|
| Krull dimension (classical) | 0 | |
| weak global dimension | 0 |
| Name | Description |
|---|---|
| Jacobson radical | $\{0\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\oplus_{i=0}^\infty \mathbb Q$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\oplus_{i=0}^\infty \mathbb Q$ |