If $A$ is a finitely generated $R$-module, is $\operatorname{Hom}_R(A,R)$ finitely generated?
74974
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
53687
Why is $\text{Hom}(V,W)$ the same thing as $V^* \otimes W$?
68449
$\operatorname{Supp}(M)=V(\operatorname{Ann}M)$ if $M$ is finitely generated
50212
$R/Ra$ is an injective module over itself
158311
What is the dimension of $R[[X]]$ where $R$ is a Noetherian ring?
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
83812
Artinian ring and faithful module of finite length
139828
Finitely Presented Modules and Exact Sequences
92822
Finite number of elements generating the unit ideal of a commutative ring
29635
Fields finitely generated as $\mathbb Z$-algebras are finite?
46717
If $M$ is a Noetherian $R$-module, then $R/\text{Ann}(M)$ is a Noetherian ring
142699
Is $R/N(R)$ a faithfully flat $R$-module?
127044
Prove that a finitely-generated free module has a finite basis
79914
Hom and tensor with a flat module
69141
Is every Noetherian module finitely generated?
41895
Show $\text{Hom}_{Ab}(A,\mathbb{Q}) = \{0\}$ for finite $A$