Why not take the tensor product of two left modules in this way?
7870
For $M\otimes_R N$, why is it so imperative that $M$ be a right $R$-module and $N$ a left $R$-module?
108657
Cross product of the quantum mechanical operators $\textbf{p}$ and $\textbf{A}$
89990
Direct limit of arbitrary family of tensor products of A-algebras
137607
Difference between left and right cosets
31421
Transpose inverse automorphism is not inner
6398
Can the product of an $4\times 3$ matrix and a $3\times 4$ matrix be invertible?
116977
Why conjugate when switching order of inner product?
75867
Tensor double dot product
16172
My proof of $I \otimes N \cong IN$ is clearly wrong, but where have I gone wrong?
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
55148
Why is this isomorphism $M \otimes_K L \stackrel{\simeq}{\longrightarrow} M^{[L:K]}$ an isomorphism of $M$ - algebras?
50114
A question about direct sums and products of modules
45575
why each left ideal of this is minimal?
128489
Linearly independent elements are less than generators in a module.
2719
Why isn't an infinite direct product of copies of $\Bbb Z$ a free module?
101473
Tensor product of a sheaf of module and a residue field
72295
A difficulty in understanding the proof of distributivity of tensor products over direct sums for modules.