# Ring detail

## Name: Non-Artinian simple ring

Description: Let $k$ be any simple ring of characteristic $0$, and let $d$ be a non-inner derivation on $k$. the differential polynomial ring $R=k[x;d]$.

Notes:

Keywords differential polynomial ring

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: