# Ring detail

## Name: Left-not-right Noetherian domain

Description: Twisted polynomials $k[x;s]$ for a division ring $k$ with endomorphism s which isn't an automorphism. The twist is given by $xa=xs(a)$.

Notes:

Keywords twisted polynomial ring

Reference(s):

• Lam, Tsit-Yuen., A First Course In Noncommutative Rings, Vol. 131. Springer, (2001). P 21

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: