Classes of sequentially Cohen-Macaulay squarefree monomial ideals

Details Classes of sequentially Cohen-Macaulay squarefree monomial ideals Classes of sequentially Cohen-Macaulay squarefree monomial ideals

2011-03-10

arxiv.org/abs/1103.1996v1

Mathematics

Commutative Algebra

Scientific paper

We compute the minimal primary decomposition for completely squarefree lexsegment ideals. We show that critical squarefree monomial ideals are sequentially Cohen-Macaulay. As an application, we give a complete characterization of the completely squarefree lexsegment ideals which are sequentially Cohen-Macaulay and we also derive formulas for some homological invariants of this class of ideals.

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