Ring $R_{ 142 }$

Kaplansky's right-not-left hereditary ring


Let $S=$$R_{93}$. The required ring is $R=S\otimes_\mathbb Q S$

Keywords endomorphism ring subring tensor product


  • I. Kaplansky. On the Dimension of Modules and Algebras, X: A Right Hereditary Ring which is not left Hereditary. (1958) @ Main theorem

  • = has the property
  • = does not have the property
  • = information not in database
Name Measure
global dimension left: 2right: 1
weak global dimension 0
Name Description
Jacobson radical $\{0\}$
Left singular ideal $\{0\}$
Right singular ideal $\{0\}$