Equivalence of ideals of rings
99715
Proper ideal and units proof
48818
Homomorphism of local rings
98818
Quotient ring of a localization of a ring
49854
Ideals in polynomial rings generated by linear polynomials
19883
Prime ideals of the matrix ring
587
Ideal Generated by the Union of Two Ideals
6646
A (non-artificial) example of a ring without maximal ideals
16727
Intersection of finitely generated ideals
150911
Prove that the ring is Artinian and find a composition series of ideals
45684
Is quotient of a ring by a power of a maximal ideal local?
87151
Primary ideals in Noetherian rings
63171
Translate of an ideal by $a$ coincides with the ideal iff  $a \in I$
114343
If $I$ and $J$ are ideals in a ring $R$ with $1$ such that $I+J = R$, show that $I^m$ and $J^n$ are co-maximal for all $m,n \in \mathbb{N}$
29019
Ideals in direct product of rings
41629
Structure of ideals in the product of two rings
87078
Prove the following set is an ideal of the ring $Z[x]$
92822
Finite number of elements generating the unit ideal of a commutative ring