If $\mathcal{A}$ is an abelian category then $\text{Hom}_{\mathcal{A}}(M,-)$ is left exact functor
7441
Hom is a left-exact functor
32172
Homomorphisms of graded modules
151705
$SL_n(\mathbb R)$ is a subgroup of kernel of $f\in$ Hom$(GL_n(\mathbb R), A)$, $A$ is an abelian group.
121945
Monomorphisms and Epimorphisms in the category of small categories
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
33338
Problem on $\operatorname{Hom}(\mathbb Z_6,R^*\oplus C^*)$
69160
Show that the functor that takes $R$ to the set of invertible elements of $R[X]/(X^2-a)$ is representable.
122559
Some questions on abelian category
136804
Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
87750
Hom / tensor adjunction for $O_X$ modules?
145700
Module isomorphic to second dual
15320
Morita equivalence and right and left ideals of a Ring
111746
$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.
10679
Equivalence of Categories and of Their Functor Categories
7870
For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
53634
Sequences or 'chains' of adjoint functors
141900
Exact sequence and Noetherian modules