Ring $R_{ 183 }$

$\varinjlim M_{2^n}(\mathbb Q)$


The direct limit of the matrix rings in the family $M_{2^n}(\mathbb Q)$ where the rings embed in each other as $A\mapsto \begin{bmatrix}A&0\\0&A\end{bmatrix}$

Keywords direct limit infinite matrix ring matrix ring


  • S. R. Lopez-Permouth. Rings of Quotients. (1985) @ Chapter 4 p 83

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