h = d*g
The composition of maps $d*g$ is a derivation $N\ \to\ L$, with the composition $f*g$ defining the module structure of $L$ over $N$, where $f: M\ \to\ L$ defines the module structure of $L$ over $M$.
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The source of this document is in GradedLieAlgebras/doc.m2:2673:0.