# Ring detail

## Name: Right-not-left Artinian triangular ring

Description: Triangular ring $\begin{bmatrix}Q& R\\ 0& R\end{bmatrix}$ where $[R:Q]$ is an infinite degree field extension.

Krull dimension: 0

Keywords triangular ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 20