The ring is the trivial extension $T(\mathbb Z, \mathbb Z_{2^\infty})$ of the Prüfer $2$-group.
Keywords trivial extension
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ | |
| composition length | left: $\infty$ | right: $\infty$ |
| Krull dimension (classical) | 1 |
| Name | Description |
|---|---|
| Idempotents | $\{0,1\}$ |