@article{58ecc4e9a46843d3879d8c2a33461e0e,
title = "Level property of ordinary and symbolic powers of Stanley-Reisner ideals",
abstract = "In this paper, we prove that the t-th ordinary and/or symbolic power of a Stanley-Reisner ideal is level for some positive integer t≥3 if and only if IΔ is a complete intersection and equi-generated. For t=2, we give a characterization of level property of the second symbolic power IΔ (2) when Δ is a matroid complex of dimension one.",
keywords = "Levelness, Matroid, Ordinary powers, Stanley-Reisner ideal, Symbolic powers",
author = "Minh, {Nguy{\^e}n C{\^o}ng} and Naoki Terai and Thuy, {Phan Thi}",
note = "Funding Information: We would like to thank the referee for their very useful corrections and suggestions. A part of this paper was done while the first author was visiting Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the VIASM for hospitality and financial support. The third author also thanks the support by Hanoi National University of Education under grant number SPHN19-01 . Funding Information: We would like to thank the referee for their very useful corrections and suggestions. A part of this paper was done while the first author was visiting Vietnam Institute for Advanced Study in Mathematics (VIASM). He would like to thank the VIASM for hospitality and financial support. The third author also thanks the support by Hanoi National University of Education under grant number SPHN19-01. Publisher Copyright: {\textcopyright} 2019 Elsevier Inc. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = oct,
day = "1",
doi = "10.1016/j.jalgebra.2019.05.044",
language = "English",
volume = "535",
pages = "350--364",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
}