Principal Ideal Avoidance
9204
Counterexamples to the avoidance lemma for arbitrary ideals
153984
The direct image of an ideal need not be an ideal
42170
$R$ integral domain where every prime ideal is principal then set of non-principal ideals has maximal element
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
78380
Dedekind domain with a finite number of prime ideals is principal
109691
When are kernels of homomorphisms on $\mathbb{Z}[x]$ principal ideals, and what does this have to do with Gauss's lemma?
129465
Minimizing Frobenius norm of a special type
113863
The non-existence of non-principal ultrafilters in ZF
60674
Finitely generated idempotent ideals are principal: proof without using Nakayama's lemma
86635
Optimizing $(X_{n}+c)^{2}$ to show that $P(\overline{X}_{n}\geq \lambda) \leq E(X_{n}^{2})/(EX_{n}^{2}+ \lambda^{2})$
80679
Principal ideal rings that are not integral domains
50445
Explaining the product of two ideals
92519
ideal behind Maximal ideals are Prime ideals
6307
maximal ideal not containing some expression
87151
Primary ideals in Noetherian rings
17247
Localisation and prime ideals
103877
The advantages and disadvantages of using Kaiser Rule to select the number of principal components