# Ring detail

## Name: local right-not-left Kasch ring

Description: Let $k$ be a field. Let $S$ be the power series ring over $k$ in two noncommuting variables $x,y$. The ring is $R=S/(y^2,yx)$

Krull dimension: (unknown)

Keywords power series ring quotient ring

Reference(s):

• T.-Y. Lam. Exercises in modules and rings. (2007) @ ex 3.18, p 211