Coextension of scalars
= Coextension of scalars
{title2=$\operatorname{Hom}_R(A,M)$}
For a <ring homomorphism> $R\to A$ and a left $R$-<module> $M$, the left $A$-action on $\operatorname{Hom}_R(A,M)$ is $(a\cdot h)(b)=h(ba)$. This construction is right adjoint to <restriction of scalars>.