Description: Quotient ring of the integers (1) by an ideal $(n)$ where $n$ is a squarefree number.

Notes:

Keywords quotient ring

Reference(s):

This ring has the following properties:

ACC principal
Artinian
Bezout ring
clean
Cohen-Macaulay
coherent
continuous
dual
finite
finitely pseudo Frobenius
Frobenius
Gorenstein
Jacobson (Hilbert)
Noetherian
normal
perfect
principal ideal ring
pseudo Frobenius
rad-nil
reduced
self-injective
semilocal
semiperfect
semiprimary
semiprimitive
semiregular
semisimple
serial
stable range 1
strongly pi regular
von Neumann regular

The ring lacks the following properties:

algebraically closed field
atomic domain
Bezout domain
characteristic 0 field
connected
Dedekind domain
domain
Euclidean domain
Euclidean field
field
GCD domain
Krull domain
local
Mori domain
normal domain
ordered field
perfect field
principal ideal domain
Prufer domain
Pythagorean field
quadratically closed field
regular local
Schreier domain
unique factorization domain
valuation

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