$n \times n$ ring of upper triangular matrices over the field of two elements, $n>1$

Keywords matrix ring

Symmetric properties

Asymmetric properties

Legend

- = has the property
- = does not have the property
- = information not in database

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 | $\{0\}$ |