# 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 $\begin{bmatrix} a&0&b&c\\ 0&a&0&d\\ 0&0&a&0\\ 0&0&0&e\end{bmatrix}$

Krull dimension: 0

Keywords matrix ring subring

Reference(s):

• T.-Y. Lam. Lectures on modules and rings. (2012) @ p 281