Description: 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 of $M$ by $\mathbb Z$: $\mathbb Z\times M$ with the multiplication operation $(n,a)(m,b):=(nm,nb+ma)$

Keywords trivial extension

Reference(s):

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

Known Properties

Legend

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

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

Krull dimension (classical) | 1 |

(Nothing was retrieved.)