Is $\operatorname{Hom} _A(M,N)$ a finitely generated $A$-module?
101095
Constructing an example s.t. $\operatorname{Hom}_R(M,N)$ is not finitely generated
135422
$\operatorname{Hom}(-,A) \cong \operatorname{Hom}(-,A') \Rightarrow A \cong A'$, proof verification
117211
Infinite linear independent family in a finitely generated $A$-module
139828
Finitely Presented Modules and Exact Sequences
79591
Exact Sequences of Modules and Rank
102072
Simple $M_n(D)$-module with $D$ a division ring
70872
Isomorphism of quotient modules implies isomorphism of submodules?
105363
$\mathbb Z^n/\langle (a,...,a) \rangle \cong \mathbb Z^{n-1} \oplus \mathbb Z/\langle a \rangle$
37570
$M + N$ and $M \cap N$ are finitely generated $A$-modules implies $M$ and $N$ finitely generated using exact sequences
82788
Direct summand of a free module
104747
Does localisation commute with Hom for finitely-generated modules?
158232
Tensor product of a module with an ideal is isomorphic to their standard product
83812
Artinian ring and faithful module of finite length
122189
Show that $M[x]$ is a Noetherian $A[x]$-module.
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
33338
Problem on $\operatorname{Hom}(\mathbb Z_6,R^*\oplus C^*)$
12474
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?