Every submodule is finitely generated iff every nonempty collection of submodules has a maximal element
69141
Is every Noetherian module finitely generated?
49521
In an extension of finitely generated $k$-algebras the contraction of a maximal ideal is also maximal
103349
A question about a proof of Noetherian modules and exact sequences
95942
$k[x]/(x^n)$ module with finite free resolution is free
145933
Localization commutes with Hom for finitely-generated modules
130466
Proving every prime ideal is maximal in a finite dimensional ring over a field.
76047
Annihilators of elements of a finitely generated faithful module over a noetherian reduced ring
157585
Structure theorem of finite rings
114773
counterexamples on modules
17991
Nonconstant polynomials do not generate maximal ideals in $\mathbb Z[x]$
127044
Prove that a finitely-generated free module has a finite basis
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
28518
Hom of finitely generated modules over a noetherian ring
153622
Are intermediate rings of finitely generated ring extensions also finitely generated?
8417
Natural $(R/I)$-module structure for an $R$-module $M$ annihilated by $I$
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
42652
Must $k$-subalgebra of $k[x]$ be finitely generated?