Finitely generated modules
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
124864
A not free $\mathbb{Z}$-module
17978
Isomorphism classes of $\mathbb{Z}[i]$ modules.
116955
Showing the existence of a certain kind of extension of a finitely generated algebra
152200
Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
28518
Hom of finitely generated modules over a noetherian ring
70872
Isomorphism of quotient modules implies isomorphism of submodules?
75970
$\mathbb Z[1/2]$ is not finitely generated?
59687
Suppose $M$ is a finitely generated module over $R$ where $R$ is a Noetherian ring. Prove that $M$ is a noetherian module.
80879
Can a quotient field ever be finitely generated as an algebra?
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
95942
$k[x]/(x^n)$ module with finite free resolution is free
23735
Divisible module which is not injective
93474
A Finite Boolean Ring is Generated by Finitely Many Copies of $\mathbb{Z} / 2 \mathbb{Z}$
134991
Commutative non Noetherian rings in which all maximal ideals are finitely generated
68926
Finitely generated singular homology