$\text{Hom}_R(R,M) \cong M$?
51898
Show that $\operatorname{Hom}_{R} (R,M) \cong M$
144501
$\operatorname{Hom}(X \times Z, Y) \cong \operatorname{Hom}(X, \operatorname{Map}(Z, Y))$ is not true in $\textbf{Top}$
112577
$\hom (M, \coprod_i N_i) \cong \bigoplus_i \hom (M, N_i)$ in abelian categories when $M$ is simple?
95686
$Lie(G \times H)\cong Lie(G)\oplus Lie(H)$
7441
Hom is a left-exact functor
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
133915
In which case $M_1 \times N \cong M_2 \times N \Rightarrow M_1 \cong M_2$ is true?
53687
Why is $\text{Hom}(V,W)$ the same thing as $V^* \otimes W$?
60777
Prove $\, a_1 \Bbb Z \cap \dotsb \cap a_r \mathbb{Z} = {\rm lcm}(a_1, \ldots, a_r) \Bbb Z$
80211
Annihilator of quotient module M/IM
125184
Why $\dim(\hom(V,W))=\dim(V) * \dim(W)$?
140340
Left and right R-modules
147564
Why does $(A/I)\otimes_R (B/J)\cong(A\otimes_R B)/(I\otimes_R 1+1\otimes_R J)$?
152721
Help showing $H_n=\sum_{h \in H}h \in F[H]$ is a simple submodule
87750
Hom / tensor adjunction for $O_X$ modules?
21288
For integers $a$ and $b$, $ab=\text{lcm}(a,b)\cdot\text{hcf}(a,b)$