# 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 $R=S/(y^2,yx)$

Notes:

Keywords quotient ring power series ring

Reference(s):

• (Citation needed)

• 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: