TY - JOUR
T1 - On the second powers of stanley-reisner ideals
AU - Rinaldo, Giancarlo
AU - Terai, Naoki
AU - Yoshida, Ken ichi
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
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U2 - 10.1216/JCA-2011-3-3-405
DO - 10.1216/JCA-2011-3-3-405
M3 - Article
AN - SCOPUS:82355188714
VL - 3
SP - 405
EP - 430
JO - Journal of Commutative Algebra
JF - Journal of Commutative Algebra
SN - 1939-0807
IS - 3
ER -