# Ring detail

## Name: $\mathbb Z\langle x,y\rangle/(y^2, yx)$

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

Krull dimension: (unknown)

Keywords free algebra quotient ring

Reference(s):

• T.-Y. Lam. A first course in noncommutative rings. (2013) @ p 21