Let $V$ be a countable dimensional right vector space over $\mathbb Q$. $R=End(V_\mathbb Q)$, written on the left. In other words, the column-finite infinite matrices indexed by $\mathbb N$ over $\mathbb Q$.

Notes: Has exactly three ideals: the nontrivial one is the set of transformations with finite dimensional range.

Keywords endomorphism ring ring of functions

Symmetric properties

Asymmetric properties

Legend

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

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

cardinality | $\mathfrak c$ | |

composition length | left: $\infty$ | right: $\infty$ |

Krull dimension (classical) | 1 | |

weak global dimension | 0 |

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

Jacobson radical | $\{0\}$ |

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

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