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Let I=(f1,…,fn) and J=(g1,…,gm) be two ideals generated by regular sequences of monomials in the polynomial ring R=k[x1,x2,…,xu]

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Δp(IJ)=ΔI∪ΔJ,

where p(IJ) is the polarization of IJ, ΔI is the simplicial complex corresponding to the squarefree monomial ideal I, and ΔJ is the simplicial complex corresponding to the squarefree monomial ideal I.

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Q: What is an example of product monomials?
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