Maximal ideal in $K[x_1,...,x_n]$
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
68202
Must an ideal generated by an irreducible element be a maximal ideal?
49875
Question on Comaximal Ideals
67203
Complement of maximal multiplicative set is a prime ideal
102341
Primary decomposition of a monomial ideal
7833
Ideal and minimal polynomial
109199
Prove that every nonzero prime ideal is maximal in $\mathbb{Z}[\sqrt{d}]$
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
104782
Polynomial irreducible - maximal ideal
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
116430
If $I = \langle 2\rangle$, why is $I[x]$ not a maximal ideal of $\mathbb Z[x]$, even though $I$ is a maximal ideal of $\mathbb Z$?
53770
Let $R$ be a finite commutative ring. Show that an ideal is maximal if and only if it is prime.
104784
On the grade of an ideal
45962
Show that any prime ideal from such a ring is maximal.
77382
Left ideals of $M_n(K)$
110022
Showing prime and maximal ideal
3327
Height and minimal number of generators of an ideal