Prove that all ideals in $\mathbb{Z}[x]$ are generated by two elements.
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
43889
Prove that $u-i$ is a maximal ideal of $\frac {\Bbb C[X,Y]} {\left (X^2+Y^2-1 \right )}.$
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
58425
Defining the Product of Ideals
72350
Constructing Idempotent Generator of Idempotent Ideal
116000
Prove that prime ideals of a finite ring are maximal
41629
Structure of ideals in the product of two rings
138672
Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
31585
Primary ideals of $\mathbb{Z}$
70856
Construct ideals in $\mathbb Z[x]$ with a given least number of generators
1719
Ideals in the ring of Gaussian integers
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 $\mathbb Z$?
111996
Maximal and Prime Ideal in Z
69012
How to directly prove every element in a ring with exactly three ideals is either a unit or a zero divisor?
128566
Proving $2$ generates $(\mathbb{Z}/19\mathbb{Z})^*$ by only looking at a few powers
147871
How do the prime ideals of $\mathbb{Z}_{k}$ look like?
93723
Find all the maximal ideals in the ring $\mathbb{R}[x]$.