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math.AC2021
Well Ordered Covers, Simplicial Bouquets, and Subadditivity of Betti Numbers of Square-Free Monomial Ideals
Sara Faridi, Mayada Shahada
Well ordered covers of square-free monomial ideals are subsets of the minimal generating set ordered in a certain way that give rise to a Lyubeznik resolution for the ideal, and ha…
math.AC2020
Breaking up Simplicial Homology and Subadditivity of Syzygies
Sara Faridi, Mayada Shahada
We consider the following question: if a simplicial complex has -homology, then does the corresponding -cycle always induce cycles of smaller dimension that are not bound…