Ring $R_{ 28 }$

Non-Artinian simple ring


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


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

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