On the second powers of stanley-reisner ideals

Giancarlo Rinaldo; Naoki Terai; Ken ichi Yoshida

doi:10.1216/JCA-2011-3-3-405

On the second powers of stanley-reisner ideals

Giancarlo Rinaldo, Naoki Terai, Ken ichi Yoshida

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	405-430
Number of pages	26
Journal	Journal of Commutative Algebra
Volume	3
Issue number	3
DOIs	https://doi.org/10.1216/JCA-2011-3-3-405
Publication status	Published - 2011
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

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10.1216/JCA-2011-3-3-405

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On the second powers of stanley-reisner ideals

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