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math.AC2011
Powers of edge ideals
Carmela Ferro, Mariella Murgia, Oana Olteanu
We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti-path, we prove that they have linear qu…
math.AC2011
Invariants of some classes of monomial ideals
Oana Olteanu
In this thesis we are interested in describing some homological invariants of certain classes of monomial ideals. We will pay attention to the squarefree and non-squarefree lexsegm…
math.AC2011
Classes of sequentially Cohen-Macaulay squarefree monomial ideals
Oana Olteanu
We compute the minimal primary decomposition for completely squarefree lexsegment ideals. We show that critical squarefree monomial ideals are sequentially Cohen-Macaulay. As an ap…