Let $A$ be a ring, and $L,M,N$ an $A^\mathrm{op} \otimes A$-modules. $L \otimes_A M$ is then an $A \otimes A^\mathrm{op}$ module so we can tensor it again with $N$ to get an abelian group $(L \otimes_A M) \otimes_{A \otimes A^\mathrm{op}} N$.
This is basically tensoring $L, M, N$ in a triangle, in a cyclic fashion. I am under the impression that this idea is useful in understanding Hochschild (co)homology, but I don't actually know anything about it unfortunately.
My question is that given that we could form tensor products of more complicated graphs than a cyclic triangle, even varying $A$, or having multimodules instead of bimodules, does "tensoring diagrams of multimodules" exist in the literature?