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The theory of lattices in the sense of order theory. For the number-theoretic notion, use the tag "lattices" instead.
2
votes
Is the product of two supermodular functions supermodular?
The answer is no, not in general.
I am going to assume $f$ and $g$ are supermodular, real polynomials. I'll discuss what needs to happen for their product to be supermodular and then construct a coun …