Why $R/J$ has finite ideals if $R$ PID?
43103
Unique factorization domain and principal ideals
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
60674
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
52992
Proving that P/PJ is a projective right module over R/J
111996
Maximal and Prime Ideal in Z
65536
Finitely generated ideals in a Boolean ring are principal, why?
111307
If ideal $I$ of domain $R$ is free $R$-module, then $I$ is principal ideal.
85915
Principal prime ideals are minimal among prime ideals in a UFD
50445
Explaining the product of two ideals
29019
Ideals in direct product of rings
89864
Units in finite polynomial rings
112045
A property of minimal prime ideal
37929
Classification of prime ideals of $\mathbb{Z}[X]$
84663
$A$ local Noetherian ring with principal maximal ideal implies PIR?
146801
Primary decomposition of an ideal
149412
Every prime ideal of a finitely generated $\mathbb{R}$-algebra is an intersection of maximal ideals?
53801
Why are powers of coprime ideals are coprime?