3 papers
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…
math.RA2018
On polynomials that are not quite an identity on an associative algebra
Eric Jespers, David Riley, Mayada Shahada
Let be a polynomial in the free algebra over a field , and let be a -algebra. We denote by , $\A_A(f)$ and $\I_A(f)$, respectively, the `verbal' subspace, sub…