Let $I$ and $J$ be ideals in $R$. Is the set $K= \{ ab \ | \ a\in I, b\in J \}$ an ideal in R?
58425
Defining the Product of Ideals
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
155745
Ideals of $\mathbb{Z}[X]$
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
115920
Showing $R$ is a local ring if and only if all elements of $R$ that are not units form an ideal
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
138672
Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
49875
Question on Comaximal Ideals
104486
Ideal in $\mathbb Z[x]$ which is not two-generated
138572
Is $(xy-1)$ a maximal ideal in $\mathbb C[x,y]$?
74796
Extension of intersection of ideals
69649
If an ideal contains the multiplicative identity, then it is the whole ring
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
130297
$A$ be a subset of $[0,1]$ with non-empty interior ; then is it true that $\mathbb Q+A=\mathbb R$?
37393
$R$ is commutative, $I$,$J$ are ideals, $I+J=R$, then $IJ=I\cap J$
16945
Finding the Ideals of a Direct Product of Rings