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

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

Notes: Local with an idempotent, nilpotent maximal ideal.

Krull dimension: 0

Keywords
polynomial ring
quotient ring