Description: $k[x,y]_{(x,y)}/(x^2-y^3)$

Notes: Krull dimension $1$.

Keywords quotient ring localization polynomial ring

Reference(s):

This ring has the following properties:

The ring lacks the following properties:

algebraically closed field
Bezout domain
characteristic 0 field
Dedekind domain
distributive
Euclidean domain
Euclidean field
field
finite
GCD domain
Krull domain
normal
normal domain
ordered field
perfect field
principal ideal domain
Prufer domain
Pythagorean field
quadratically closed field
regular
regular local
Schreier domain
semisimple
unique factorization domain
von Neumann regular

We don't know if the ring has or lacks the following properties:

ACC principal
Artinian
atomic domain
Bezout ring
coherent
continuous
dual
finitely pseudo Frobenius
Frobenius
Gorenstein
Jacobson
Kasch
local complete intersection ring
Mori domain
Noetherian
perfect
principal ideal ring
pseudo Frobenius
rad-nil
self-injective
semiprimary
semiprimitive
serial
strongly pi regular
valuation