# Ring detail

## Name: $k[x,x^{-1};\sigma]$

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

Reference(s):

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

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
cardinality $\aleph_0$
composition length left: $\infty$right: $\infty$
Name Description
Idempotents $\{0,1\}$
Jacobson radical $\{0\}$
Nilpotents $\{0\}$
Zero divisors $\{0\}$