Mathematics (Jul 2019)
Cohen-Macaulay and (S<sub>2</sub>) Properties of the Second Power of Squarefree Monomial Ideals
Abstract
We show that Cohen-Macaulay and (S 2 ) properties are equivalent for the second power of an edge ideal. We give an example of a Gorenstein squarefree monomial ideal I such that S / I 2 satisfies the Serre condition (S 2 ), but is not Cohen-Macaulay.
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