# 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 $xa=xs(a)$.

Keywords twisted polynomial ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 21

Legend
• = has the property
• = does not have the property
• = information not in database

(Nothing was retrieved.)

Name Description
Idempotents $\{0,1\}$
Nilpotents $\{0\}$
Zero divisors $\{0\}$