I was reading about the construction of a tensor product of any right $R$-module $M$ and left $R$-module $N$ over a ring $R$.
Why is it required that $M$ and $N$ be right and left modules, respectively? How does the construction not work otherwise?
I was reading about the construction of a tensor product of any right $R$-module $M$ and left $R$-module $N$ over a ring $R$.
Why is it required that $M$ and $N$ be right and left modules, respectively? How does the construction not work otherwise?