Description: The polynomial ring $F[x]$ over a field $F$

Notes:

Keywords polynomial ring

Reference(s):

This ring has the following properties:

ACC principal
atomic domain
Bezout domain
Bezout ring
Cohen-Macaulay
coherent
connected
Dedekind domain
distributive
domain
Euclidean domain
GCD domain
Gorenstein
Jacobson (Hilbert)
Krull domain
Mori domain
Noetherian
normal
normal domain
principal ideal domain
principal ideal ring
Prufer domain
rad-nil
reduced
regular
Schreier domain
semiprimitive
unique factorization domain

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