# 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 $k[x,x^{-1};s]$

Krull dimension: (unknown)

Keywords skew polynomial ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 45