Cohen-Macaulay and (S2) properties of the second power of squarefree monomial ideals

Do Trong Hoang, Giancarlo Rinaldo, Naoki Terai

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We show that Cohen-Macaulay and (S2) 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/I2 satisfies the Serre condition (S2), but is not Cohen-Macaulay.

Original languageEnglish
Article number684
JournalMathematics
Volume7
Issue number8
DOIs
Publication statusPublished - 2019

Keywords

  • (S) condition
  • Cohen-Macaulay
  • Edge ideal
  • Stanley-Reisner ideal

ASJC Scopus subject areas

  • Mathematics(all)

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