Description: subring of $\mathbb C$ generated by $\mathbb Z$ and $\frac{1+\sqrt{-19}}{2}$

Notes: Not a Euclidean domain

Keywords quotient ring subring

Reference(s):

This ring has the following properties:

ACC principal
atomic domain
Bezout domain
Bezout ring
Cohen-Macaulay
coherent
connected
Dedekind domain
distributive
domain
GCD domain
Gorenstein
Krull domain
Mori domain
Noetherian
normal
normal domain
principal ideal domain
principal ideal ring
Prufer domain
reduced
regular
Schreier domain
unique factorization domain

The ring lacks the following properties:

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