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math.AC2009
Depths of Powers of the Edge Ideal of a Tree
Susan Morey
Lower bounds are given for the depths of R/I^t for t at least one when I is the edge ideal of a tree or forest. The bounds are given in terms of the diameter of the tree, or in cas…
math.AC2008★ 1 cited
Embedded Associated Primes of Powers of Square-free Monomial Ideals
Huy Tai Ha, Susan Morey
An ideal I in a Noetherian ring R is normally torsion-free if Ass(R/I^t)=Ass(R/I) for all natural numbers t. We develop a technique to inductively study normally torsion-free squar…
math.AC2008★ 1 cited
Cohen-Macaulay admissible clutters
Huy Tai Ha, Susan Morey, Rafael H. Villarreal
There is a one-to-one correspondence between square-free monomial ideals and clutters, which are also known as simple hypergraphs. It was conjectured that unmixed admissible clutte…