Triangular ring $\begin{bmatrix}\mathbb Z&\mathbb Z/(2)\\ 0&\mathbb Z/(2)\end{bmatrix}$
Keywords triangular ring
| Name | Measure | |
|---|---|---|
| cardinality | $\aleph_0$ | |
| composition length | left: $\infty$ | right: $\infty$ |
| Name | Description |
|---|---|
| Jacobson radical | $\begin{bmatrix}0&\mathbb Z/(2)\\0&0\end{bmatrix}$ |
| Left socle | $\begin{bmatrix}0&\mathbb Z/(2)\\0&0\end{bmatrix}$ |
| Right singular ideal | $\{0\}$ |
| Right socle | $\begin{bmatrix}0&\mathbb Z/(2)\\0&\mathbb Z/(2)\end{bmatrix}$ |