Let $M$ a cyclic $R$-module of order $\alpha$. If $\beta\mid\alpha$ then there is a unique submodule of order $\beta$
120637
Is there a unique cyclic submodule for every factor dividing the order of a cyclic module?
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
126472
Surjective endomorphisms of uniserial modules
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
128489
Linearly independent elements are less than generators in a module.
47630
Endomorphisms of modules satisfying chain conditions and counterexamples.
80302
A module $M$ whose submodules and factor modules are semisimple but not semisimple itself
148828
Submodule of a free module
58532
If $M$ is an Artinian $R$-module then $R/\mbox{ann}(M)$ is an Artinian ring?
36987
A criterion of flat modules
48519
Symmetric powers of modules
100303
A necessary and sufficient condition for $A\cap(B+C)=(A\cap B)+C$ to hold for submodules
121465
$R[x]$ has a subring isomorphic to $R$.
63192
A chain ring with Krull dimension greater than one
135039
${\rm Aut}(G)$ is cyclic $\implies G$ is abelian
144122
A problem about an $R$-module that is both injective and projective.
117211
Infinite linear independent family in a finitely generated $A$-module