Product of two different ideals by a third may be equal
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
157605
$IS \mid JS$ implies that $I\mid J$ where $I$ and $J$ are ideals of a number ring contained in another number ring $S$
90889
Prime ideals in a finite direct product of rings
85819
A non-polyhedral pair $(X,A)$ with both $X$ and $A$ polyhedral
5360
Ideal contained in a finite union of prime ideals
102341
Primary decomposition of a monomial ideal
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
34183
An equivalent condition with $\{0\}$ being the only nilpotent ideal
110022
Showing prime and maximal ideal
96071
How to show that a prime ideal of height 2 can’t necessarily be generated by 2 elements? (Hartshorne exercise I.1.11)
120912
Can two Pythagorean triples have the same product?
74150
Problem on the number of generators of some ideals in $k[x,y,z]$
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals
18406
An ideal whose radical is maximal is primary
135699
Questions about a commutative ring with exactly three ideals
71316
Two inner products being equal up to a scalar
63171
Translate of an ideal by $a$ coincides with the ideal iff  $a \in I$