The ring is $\begin{bmatrix} F_2&F_2\\0&\mathbb Z_{(2)}\end{bmatrix}$ where the field of two elements $F_2$ is given the natural right $\mathbb Z_{(2)}$ module structure by localizing $\mathbb Z$ at the prime ideal $(2)$

Keywords localization triangular ring

- K. Varadarajan. Hopfian and co-Hopfian objects. (1992) @ (page needed)

Symmetric properties

Asymmetric properties

Legend

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

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

cardinality | $\aleph_0$ | |

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

(Nothing was retrieved.)