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math.AC2012
The Golod property for products and high symbolic powers of monomial ideals
S. A. Seyed Fakhari, Volkmar Welker
We show that for any two proper monomial ideals I and J in the polynomial ring S = k[x_1, ..., x_n] the ring S/IJ is Golod. We also show that if I is squarefree then for large enou…
math.CO2012
Intersecting faces of a simplicial complex via algebraic shifting
S. A. Seyed Fakhari
A family of sets is {\it -intersecting} if the cardinality of the intersection of every pair of sets in is at least , and is an {\it -family} i…