Module $M_{ 16 }$

$\bigoplus_{i\in\mathbb N} \mathbb Z$ over $\mathbb Z$: the ring of integers

Description:

$M=\bigoplus_{i\in\mathbb N} \mathbb Z$, the countably infinite direct sum of copies of $\mathbb Z$ as a $\mathbb Z$ module. (The Prüfer p-groups are non-semi-noetherian quotients of this group.)

Reference(s):

  • (Citation needed)