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
Artinian
Bezout domain
characteristic 0 field
Dedekind domain
distributive
dual
Euclidean domain
Euclidean field
field
finite
Frobenius
GCD domain
Kasch
Krull domain
normal
normal domain
ordered field
perfect
perfect field
principal ideal domain
Prufer domain
pseudo Frobenius
Pythagorean field
quadratically closed field
regular
regular local
Schreier domain
self-injective
semiprimary
semisimple
unique factorization domain
von Neumann regular

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