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FALL 2015 Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters
Yi-Huang Shen
J. Commut. Algebra 7(3): 423-445 (FALL 2015). DOI: 10.1216/JCA-2015-7-3-423

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~$\calC$.

Citation

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Yi-Huang Shen. "Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters." J. Commut. Algebra 7 (3) 423 - 445, FALL 2015. https://doi.org/10.1216/JCA-2015-7-3-423

Information

Published: FALL 2015
First available in Project Euclid: 14 December 2015

zbMATH: 1328.05206
MathSciNet: MR3433991
Digital Object Identifier: 10.1216/JCA-2015-7-3-423

Subjects:
Primary: 05C65 , 05E40

Keywords: clutter , squarefree monomial ideal , Stanley depth , Stanley regularity

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

Vol.7 • No. 3 • FALL 2015
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