Let $M$ be the direct sum of $\mathbb Z/p_i\mathbb Z$ where $p_i$ is the $i$'th prime. The ring $R$ is the trivial extension $T(\mathbb Z, M)$ of $M$ by $\mathbb Z$.

Keywords trivial extension

- T.-Y. Lam. Exercises in modules and rings. (2007) @ Ex 8.18, p 214

Known Properties

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- = has the property
- = does not have the property
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Name | Measure | |
---|---|---|

cardinality | $\aleph_0$ | |

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

Krull dimension (classical) | 1 |

(Nothing was retrieved.)