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math.AC2007
Alexander Duality and Serre's Property for Square-free Monomial Ideals
Manoj Kummini
In this note, we study Serre's property , and its relation to Alexander duality for monomial ideals in a polynomial ring over a field. We describe ideals that define the non…
math.AC2007
Multiplicity Bounds for Quadratic Monomial Ideals
Manoj Kummini
We prove the multiplicity bounds conjectured by Herzog-Huneke-Srinivasan and Herzog-Srinivasan in the following cases: the strong conjecture for edge ideals of bipartite graphs, an…