# Ring detail

## Name: non-Artinian simple domain

Description: Let $s$ be a field automorphism of infinite order of the field $k$. Let $R$ be the skew polynomial ring $k[x,x^{-1};s]$

Notes:

Keywords skew 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: