Ring $R_{ 161 }$

Goodearl's simple self-injective von Neumann regular ring


Let $L$ be an irreducible continuous geometry in case $\infty$ (i.e. fails the DCC) as constructed in von Neumann's Examples of Continuous Geometries. The ring resulting from von Neumann's coordinatization theorem is the required ring.


  • K. Goodearl. Simple self-injective rings need not be artinian. (1974) @ Example 1 p 86

  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
weak global dimension 0
Name Description
Jacobson radical $\{0\}$
Left singular ideal $\{0\}$
Right singular ideal $\{0\}$