The group ring of the group $(\mathbb Q, +)$ over the field $\mathbb Q$.
Keywords group ring
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ | |
| Krull dimension (classical) | 1 |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |
| Jacobson radical | $\{0\}$ |
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |
| Zero divisors | $\{0\}$ |