Submodule of a noetherian module is noetherian
7645
Noetherian property for exact sequence
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
83812
Artinian ring and faithful module of finite length
40705
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
87151
Primary ideals in Noetherian rings
46717
If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring
143884
A non-noetherian ring with noetherian spectrum
101473
Tensor product of a sheaf of module and a residue field
145758
Are submodules of finitely generated free modules always free?
141802
Prove that free modules are projective
136917
Torsion elements do not form a submodule.
84663
$A$ local Noetherian ring with principal maximal ideal implies PIR?
79897
if R is a commutative ring in which all the prime ideals are finitely generated then R is Noetherian
93670
A surjective endomorphism (of a Noetherian ring) is injective.
145700
Module isomorphic to second dual
69141
Is every Noetherian module finitely generated?
70872
Isomorphism of quotient modules implies isomorphism of submodules?