Submodules of a Noetherian module are finite intersections of irreducible submodules
37479
Proper submodules of Noetherian modules are intersections of indecomposable modules
141477
Decomposition of finitely generated graded modules over PID
157236
Tensor product of modules.
56800
Intersection of prime ideals
83812
Artinian ring and faithful module of finite length
127044
Prove that a finitely-generated free module has a finite basis
141149
Proof some module is direct sum by its submodules.
9562
Proving that surjective endomorphisms of Noetherian modules are isomorphisms and a semi-simple and noetherian module is artinian.
47086
Quotient rings and free modules
102938
$\Bbb F_2[X]$ modules with 8 elements
92822
Finite number of elements generating the unit ideal of a commutative ring
121008
A non-noetherian ring with all localizations noetherian
82576
Intersection of two subfields of the Rational Function Field in characteristic $0$
68167
Intersection of powers of an ideal in a Noetherian ring
130186
Zero module of differentials implies finite extension?
111189
Intersection of all maximal ideals containing a given ideal
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.