f ** M
M ** f
tensor(f, M)
tensor(M, f)
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When $N$ is a free module of rank 1 the net effect of the operation is to shift the degrees of $f$.
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The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Macaulay2Doc/functions/tensor-doc.m2:429:0.