I as an ideal of $R$ then $a+I=0+I$ iff $a\in I$
63171
Translate of an ideal by $a$ coincides with the ideal iff  $a \in I$
29019
Ideals in direct product of rings
149136
On the height of an ideal
146801
Primary decomposition of an ideal
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
138672
Finding Ideals in $\begin{bmatrix} \mathbb{Q} & \mathbb{Q}\\ 0 & 0 \end{bmatrix}$
76661
Checking the maximality of a principal ideal in $R[x]$
587
Ideal Generated by the Union of Two Ideals
464
Prove that the ideal $(X_1-a_1,...,X_n-a_n)$ is maximal in $K[X_1,\dots,X_n]$
69373
Prove that $(0)$ is a radical ideal in $\mathbb{Z}/n\mathbb{Z}$ iff $n$ is square free
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
37393
$R$ is commutative, $I$,$J$ are ideals, $I+J=R$, then $IJ=I\cap J$
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
43230
Is $\langle1-i\rangle$ a maximal ideal in $\mathbb{Z}[i]$?
107454
Why D/I is finite if I is a non-zero ideal of the ring of integers of a number field?
117590
Let I and J be ideals of a ring R. Show by example that the set of products {xy | x ∈ I, y ∈ J} need not be an ideal
148208
In Noetherian ring $R$, ideal $I\subset R$, $P\in\mathrm{Ass}(I),P=I:a$ for some $a\in R$.