# Ring detail

## Name: Non-Artinian simple ring

Description: Let $k$ be any simple ring of characteristic $0$, and let $d$ be a non-inner derivation on $k$. the differential polynomial ring $R=k[x;d]$.

Keywords differential polynomial ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 42

Legend
• = has the property
• = does not have the property
• = information not in database
Name Measure
composition length left: $\infty$right: $\infty$
Name Description
Jacobson radical $\{0\}$