$\varprojlim_{n\in \mathbb Z} \mathbb Z/n\mathbb Z$, or alternatively, the product ring of all $p$-adic integers for every prime $p$.
Keywords completion direct product
| Name | Measure | |
|---|---|---|
| Krull dimension (classical) | $\infty$ |
| Name | Description |
|---|---|
| Left singular ideal | $\{0\}$ |
| Left socle | $\{0\}$ |
| Nilpotents | $\{0\}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\{0\}$ |