Ring $R_{ 93 }$

Michler & Villamayor's right-not-left V ring


Let $T=$$R_{15}$. Let $S$ be the socle of $T$. The ring $R$ is the subring of $T$ generated by $S$ and the center of $T$ (the diagonal copy of $\mathbb Q$.)

Keywords infinite matrix ring subring


  • G. O. Michler and O. Villamayor. On rings whose simple modules are injective. (1973) @ Remark 4.5 pp 192-193

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