Must an ideal generated by an irreducible element be a maximal ideal?
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
92585
If krull dimension is $0$, then all prime ideals are maximal?
149136
On the height of an ideal
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 $\mathbb Z$?
114343
If $I$ and $J$ are ideals in a ring $R$ with $1$ such that $I+J = R$, show that $I^m$ and $J^n$ are co-maximal for all $m,n \in \mathbb{N}$
112150
Prove that the ideal $(x^2 + x+2)$ is maximal in $F_3[x]$
92822
Finite number of elements generating the unit ideal of a commutative ring
69352
Prove that $I= \{a+bi \in ℤ[i] : a≡b \pmod{2}\}$ is an maximal ideal of $ℤ[i]$.
28629
Is the axiom of choice necessary to prove that closed points in the Zariski topology are maximal ideals?
97902
In a integral domain every prime element is irreducible
30714
A question on ring homomorphisms and maximal ideals.
54916
Maximal ideal in commutative ring
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
124151
Finite ring extension and number of maximal ideals
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
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?
43774
Given distinct maximal ideals $M_1,...,M_n$, is $M_1\cdots M_n$ radical?