Non-constant polynomials in $\mathbb Z[x]$ can't generate maximal ideals
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
157266
Can a nonzero polynomial evaluate to the zero function in a suitable infinite ring of char 0?
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
133975
Localising a polynomial ring and non-maximal prime ideal
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
95031
Find generators of the ideal of an algebraic set
46254
Why can't the Polynomial Ring be a Field?
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
37929
Classification of prime ideals of $\mathbb{Z}[X]$
6307
maximal ideal not containing some expression
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
68202
Must an ideal generated by an irreducible element be a maximal ideal?
75970
$\mathbb Z[1/2]$ is not finitely generated?
155745
Ideals of $\mathbb{Z}[X]$
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element