Finitely generated module with a submodule that's not finitely
4624
Example of a finitely generated module with submodules that are not finitely generated
158062
Sum of free submodules of a module over a PID
124864
A not free $\mathbb{Z}$-module
130186
Zero module of differentials implies finite extension?
152200
Is the space of smooth sections of a vector bundle finitely generated as a $C^\infty$-module?
28518
Hom of finitely generated modules over a noetherian ring
14259
If M+N and M$\cap$N are finitely generated modules, so are M and N.
145933
Localization commutes with Hom for finitely-generated modules
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
26244
Pathologies in module theory
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
17304
Tensor product of two finitely-generated modules over a local ring is zero
142101
A direct product of projective modules which is not projective
53335
Why isn't $\mathbb{C}[x,y,z]/(xz-y)$ a flat $\mathbb{C}[x,y]$-module
25764
Example of a ring such that $R^2\simeq R^3$, but $R\not\simeq R^2$ (as $R$-modules)
35745
Question about a submodule
136917
Torsion elements do not form a submodule.