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math.AC2016
LCM Duals of Monomial Ideals
Katie Ansaldi, Kuei-Nuan Lin
Given a monomial ideal in a polynomial ring over a field, we define the LCM-dual of the given ideal. We show good properties of LCM-duals. Including the isomorphism between the spe…
math.AC2016
Hypergraphs with high projective dimension and 1-dimensional Hypergraphs
Kuei-Nuan Lin, Paolo Mantero
We prove a sufficient and a necessary condition for a square-free monomial ideal associated to a (dual) hypergraph to have projective dimension equal to the minimal number of g…