Ring detail

Name: Bass's right-not-left perfect ring

Description: Let $S$ be the subset of infinite matrices over a field $k$ which are nonzero only on finitely many entries above the diagonal. $R$ is the subring of the matrix ring generated by $S$ and the "infinite" identity matrix.

Notes:

Keywords infinite matrix ring subring

Reference(s):

• (Citation needed)

• This ring has the following properties:
The ring lacks the following properties:
We don't know if the ring has or lacks the following properties: