# Simplicial complexes

Let $I = (f_1, f_2); J = (g_1, g_2), L= (h_1, h_2)$ be monomial ideals in polynomial ring $S = K[x_1,...,x_n]$ such that $f_1, f_2, g_1, g_2, h_1, h_2 \in S, f_1$ and $f_2$, $g_1$ and $g_2$, $h_1$ and $h_2$ don't contain the same variables.

Find out the relationship between simplicial complex of $I, J, L$ and simplicial complex of the product $IJL$.

-
i thinhk we need to find the polarization of $IJL$. Help me show this, please! –  daisy Jan 22 '13 at 2:17
Posted also here. –  user26857 Jan 23 '13 at 18:43