Exactness of the Functors $\text{Hom}_{\mathscr{A}}(X,-), \text{Hom}_{\mathscr{A}}(-,X)$, $\text{Hom}_{\text{Comp}(\mathscr{A})}(X,-), \text{Hom}_{\text{Comp}(\mathscr{A})}(-,X)$ and the Homological Functors $\tilde{H}_n(X,-) \text{ and } \tilde{H}_n(-,X)$. Eur. J. Pure Appl. Math. 2025;18(4):6640. doi:10.29020/nybg.ejpam.v18i4.6640