# Ring detail

## Name: Finitely cogenerated, not semilocal ring.

Description: The ring is the trivial extension $T(\mathbb Z, \mathbb Z_{2^\infty})$ of the Prüfer $2$-group.

Notes: Krull dimension $1$.

Keywords trivial extension

Reference(s):

• (Citation needed)

• This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: