Journal of Commutative Algebra

Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters

Yi-Huang Shen

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Abstract

Let $I$ be the edge ideal of a clutter $\calC$ in a polynomial ring $S$. In this paper, we present estimations of the Stanley depth of $I$ as well as the Stanley regularity of $S/I$, in terms of combinatorial data from the clutter~$\calC$.

Article information

Source
J. Commut. Algebra, Volume 7, Number 3 (2015), 423-445.

Dates
First available in Project Euclid: 14 December 2015

Permanent link to this document
https://projecteuclid.org/euclid.jca/1450102164

Digital Object Identifier
doi:10.1216/JCA-2015-7-3-423

Mathematical Reviews number (MathSciNet)
MR3433991

Zentralblatt MATH identifier
1328.05206

Subjects
Primary: 05C65: Hypergraphs 05E40: Combinatorial aspects of commutative algebra

Keywords
Squarefree monomial ideal Stanley depth Stanley regularity clutter

Citation

Shen, Yi-Huang. Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters. J. Commut. Algebra 7 (2015), no. 3, 423--445. doi:10.1216/JCA-2015-7-3-423. https://projecteuclid.org/euclid.jca/1450102164


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