# Commutative ring detail

## Name: $F[x^{1/2},x^{1/4},x^{1/8},...]/(x)$

Description: For a field $F$, the quotient polynomial ring $F[x^{1/2},x^{1/4},x^{1/8},...]/(x)$

Notes: Local with an idempotent, nilpotent maximal ideal. Krull dimension $0$.

Keywords quotient ring 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: