Author:
Hoang Do Trong,Rinaldo Giancarlo,Terai Naoki
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.
Funder
Japan Society for the Promotion of Science
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Cited by
1 articles.
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1. The v-number of edge ideals;Journal of Combinatorial Theory, Series A;2021-01