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 |
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Pages (from-to) | 405-430 |
Number of pages | 26 |
Journal | Journal of Commutative Algebra |
Volume | 3 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2011 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory