Non finitely-generated projective $\mathbb{Z}$-module
34065
Submodule of free module over a p.i.d. is free even when the module is not finitely generated?
153622
Are intermediate rings of finitely generated ring extensions also finitely generated?
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
40996
Proving that free modules are flat (without appealing projective modules)
26749
$\mathbb{Z}[X]/(X^2-1)$ is not isomorphic with $\mathbb{Z}\times \mathbb{Z}$
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
2719
Why isn't an infinite direct product of copies of $\Bbb Z$ a free module?
69398
Rank-nullity theorem for free $\mathbb Z$-modules
143884
A non-noetherian ring with noetherian spectrum
28518
Hom of finitely generated modules over a noetherian ring
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
121246
Projective modules and $\hom(P,\cdot)$
99423
Is it true every ideal of $\mathbb{Z}[x]$ is finitely generated?
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
64130
Prove that $\mathbb{Q}^{\times}$ not isomorphic to $\mathbb{Z}^{n}$
9794
Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
27735
Morphism to Projective Space $\mathbb{P}^m$