Show that the ideals of $\mathbb Z$ are principal.
33245
Show that every ideal of the ring $\mathbb Z$ is principal
50445
Explaining the product of two ideals
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
3604
If F is a field, then $F[x,y]$ is a Principal Ideal Domain?
104789
How to tell an ideal of integer polynomial ring is principal?
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
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
94157
Normal Ring and Prime Ideal whose Square is Principal
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
133019
Nilpotent elements in $\mathbb Z_n$
53367
In a principal ideal domain, prove that every non trivial prime ideal is a maximal ideal. What could be wrong in this approach?
147871
How do the prime ideals of $\mathbb{Z}_{k}$ look like?
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
76661
Checking the maximality of a principal ideal in $R[x]$