# 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 $Q$.

Notes:

Keywords triangular ring

Reference(s):

• Lam, Tsit-Yuen., A First Course In Noncommutative Rings, Vol. 131. Springer, (2001). P 20

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: