$(2,x)$ is not a principal ideal of the ring $\mathbb{Z}[x]$
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
65536
Finitely generated ideals in a Boolean ring are principal, why?
158311
What is the dimension of $R[[X]]$ where $R$ is a Noetherian ring?
90314
Maximal ideals in $R[x]$
6646
A (non-artificial) example of a ring without maximal ideals
17075
Show an Ideal is the principal ideal for some polynomial.
52081
Why is not the ring $\mathbb{Z}[2\sqrt{2}]$ a unique factorization domain?
3604
If F is a field, then $F[x,y]$ is a Principal Ideal Domain?
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
108896
Prime ideal in a polynomial ring over an integrally closed domain
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
89271
If $F$ is a field, then $F[x]$ is a principal ideal domain proof question
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
148550
Units in quotient ring of $\mathbb Z[X]$
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
24351
The ring $\Bbb Z\left [\frac{-1+\sqrt{-19}}{2}\right ]$ is not a Euclidean domain