See the expanded details page.

Notes: Given as an example of a unit-regular ring which contains a regular subring which isn't unit-regular.

Keywords endomorphism ring infinite matrix ring subring

- K. C. O’Meara. A new setting for constructing von Neumann regular rings. (2017) @ Section 1
- K. R. Goodearl. Von Neumann regular rings. (1991) @ Example 5.12, p 54
- P. P. Nielsen and J. Ster. Connections between unit-regularity, regularity, cleanness, and strong cleanness of elements and rings. (2015) @ Section 2

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 | $\{0\}$ |