Is there a principal maximal ideal in $\mathbb F_q[X,Y]$?
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
31585
Primary ideals of $\mathbb{Z}$
17075
Show an Ideal is the principal ideal for some polynomial.
120181
The ideal generated by $2$ and $ x$ in $\mathbb{Z}[x]$
20296
The ideal $I= \langle x,y \rangle\subset k[x,y]$ is not principal
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
133975
Localising a polynomial ring and non-maximal prime ideal
110022
Showing prime and maximal ideal
111189
Intersection of all maximal ideals containing a given ideal
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
6507
Every prime ideal of height 1 in a UFD is principal
53432
What is the algebraic closure of $\mathbb F_q$?
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
28244
Is the ideal $I = \{f\mid f (0) = 0\}$ in the ring $C [0, 1]$ of all continuous real valued functions on $[0, 1]$ a maximal ideal?
112043
Show that the ideal $ (2, 1 + \sqrt{-7} ) $ in $ \mathbb{Z} [\sqrt{-7} ] $ is not principal
18406
An ideal whose radical is maximal is primary