# Ring detail

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

Description: Triangular ring $\begin{bmatrix}Z&Q \\ 0&Q\end{bmatrix}$ where $Z$ is a commutative Noetherian domain not equal to its field of fractions $Q$.

Krull dimension: (unknown)

Keywords triangular ring

Reference(s):

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