$n \times n$ ring of upper triangular matrices over the field of two elements, $n>1$
Keywords matrix ring
| Name | Measure | |
|---|---|---|
| cardinality | $2^{n(n+1)/2}$ | |
| composition length | left: $n(n+1)/2$ | right: $n(n+1)/2$ |
| global dimension | left: 1 | right: 1 |
| Krull dimension (classical) | 0 |
| Name | Description |
|---|---|
| Left singular ideal | $\{0\}$ |
| Right singular ideal | $\{0\}$ |