Classes of sequentially Cohen-Macaulay squarefree monomial ideals
classification
🧮 math.AC
keywords
idealssquarefreecohen-macaulaysequentiallycompletelylexsegmentmonomialapplication
read the original abstract
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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