Let $T=$$R_{15}$. Let $S$ be the socle of $T$. The ring $R$ is the subring of $T$ generated by $S$ and the center of $T$ (the diagonal copy of $\mathbb Q$.)

Keywords infinite matrix ring subring

- G. O. Michler and O. Villamayor. On rings whose simple modules are injective. (1973) @ Remark 4.5 pp 192-193

Symmetric properties

Asymmetric properties

Legend

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

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

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

weak global dimension | 0 |

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

Jacobson radical | $\{0\}$ |

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

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