# Ring detail

## Name: right-not-left Kasch ring

Description: Let $k$ be a division ring, and $R$ be the ring of matrices of the form $\begin{bmatrix} a&0&b&c\\ 0&a&0&d\\ 0&0&a&0\\ 0&0&0&e\end{bmatrix}$

Notes:

Keywords subring matrix ring

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: