On the second powers of stanley-reisner ideals

Giancarlo Rinaldo, Naoki Terai, Ken ichi Yoshida

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)

Abstract

In this paper, we study several properties of the second power (formula) of a Stanley-Reisner ideal I of any dimension. As the main result, we prove that S/I is Goren-stein whenever (formula) is Cohen-Macaulay over any field K. Moreover, we give a criterion for the second symbolic power of I to satisfy (S2) and to coincide with the ordinary power, respectively. Finally, we provide new examples of Stanley-Reisner ideals whose second powers are Cohen-Macaulay.

Original languageEnglish
Pages (from-to)405-430
Number of pages26
JournalJournal of Commutative Algebra
Volume3
Issue number3
DOIs
Publication statusPublished - 2011

ASJC Scopus subject areas

  • Algebra and Number Theory

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