# Ring detail

## Name: Algebra of differential operators on the line (1st Weyl algebra)

Description: $K\langle x,y\rangle /(xy - yx - 1)$ where $K$ is a field.

Notes:

Keywords quotient ring free algebra

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: