# Commutative ring detail

## Name: $\Bbb Q[X,Y]_{(X,Y)}$

This ring suggested by: Watson

Description: $\Bbb Q[X,Y]$ localized at the prime ideal $(X,Y)$.

Notes: A local ring with an infinite prime spectrum. It has Krull dimension $2$.

Keywords localization polynomial 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: