Compare the following ideals: $(I+J)/I$ and $J/(I\cap J)$
140865
Rings' second isomorphism theorem
58425
Defining the Product of Ideals
129302
Proving whether ideals are prime in $\mathbb{Z}[\sqrt{-5}]$
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
63171
Translate of an ideal by $a$ coincides with the ideal iff  $a \in I$
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
69649
If an ideal contains the multiplicative identity, then it is the whole ring
112045
A property of minimal prime ideal
111996
Maximal and Prime Ideal in Z
36150
Ideal in a ring of continuous functions
29019
Ideals in direct product of rings
104784
On the grade of an ideal
512
Finding generator for the ideal generated by $a$ and $b$ in an euclidean domain
52966
Rings, ideals and units-proof
67944
Nilpotent Elements and Intersection of Prime Ideals
99715
Proper ideal and units proof
64484
Left ideal $I$ is a direct summand of $R$ iff $I = Rr$, $r^2 = r$