# Ring detail

## Name: Dieudonne's left-not-right Noetherian ring

Description: Quotient of the free algebra $\mathbb Z\langle x,y\rangle$ by the ideal $(y^2,yx)$.

Notes:

Keywords quotient ring free algebra

Reference(s):

• Lam, Tsit-Yuen., A First Course In Noncommutative Rings, Vol. 131. Springer, (2001). P 21

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: