Is there any benefit from writing homomorphisms on the same side as the module/group action? – mathoverflow.net

Let $R$ be a ring, and let $M_R$ and $N_R$ be right $R$-modules. I was taught to always write module homomorphisms on the opposite side from scalars. Thus, a map $\varphi\in {\rm Hom}_R(M,N)$ would ...