The ring of $n \times n$ matrices with entries from $F_2$, the field of two elements

Keywords matrix ring

Symmetric properties

Asymmetric properties

Legend

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

Name | Measure | |
---|---|---|

cardinality | $2^{n^2}$ | |

composition length | left: $n$ | right: $n$ |

global dimension | left: 0 | right: 0 |

Krull dimension (classical) | 0 | |

uniform dimension | left: $n$ | right: $n$ |

weak global dimension | 0 |

Name | Description |
---|---|

Jacobson radical | $\{0\}$ |

Left singular ideal | $\{0\}$ |

Left socle | $R$ |

Right singular ideal | $\{0\}$ |

Right socle | $R$ |