Interval partitions and Stanley depth

DOI10.1016/j.jcta.2009.07.008zbMath1228.05051OpenAlexW2007841033MaRDI QIDQ965226

Mitchel T. Keller, Stephen J. Young, David M. Howard, Csaba Biró, William T. jun. Trotter

Publication date: 21 April 2010

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2009.07.008

zbMATH Keywords

intervalpartitionmonomial idealBoolean latticeStanley depth

Mathematics Subject Classification ID

Partitions of sets (05A18) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (20)

Depth and Stanley depth of edge ideals associated to some line graphs ⋮ On a Conjecture of Stanley Depth of Squarefree Veronese Ideals ⋮ Stanley depth and the lcm-lattice ⋮ Combinatorial reductions for the Stanley depth of \(I\) and \(S/I\) ⋮ Stanley decompositions and Hilbert depth in the Koszul complex ⋮ On the Stanley depth of squarefree Veronese ideals ⋮ A variant of the Stanley depth for multisets ⋮ Depth and Stanley depth of the path ideal associated to an $n$-cyclic graph ⋮ The behavior of Stanley depth under polarization ⋮ Depth and Stanley depth of the edge ideals of the strong product of some graphs ⋮ An algorithm to compute the Hilbert depth ⋮ Gröbner bases of syzygies and Stanley depth ⋮ Depth and Stanley depth of the edge ideals of square paths and square cycles ⋮ Computing the Stanley depth ⋮ Stanley depth of complete intersection monomial ideals and upper-discrete partitions ⋮ Hilbert series and Hilbert depth of squarefree Veronese ideals ⋮ Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings ⋮ When will the Stanley depth increase? ⋮ The Stanley Conjecture on Intersections of Four Monomial Prime Ideals ⋮ Stanley Depth of Quotient of Monomial Complete Intersection Ideals

Cites Work

• Finite filtrations of modules and shellable multicomplexes
• Linear Diophantine equations and local cohomology
• On a conjecture of R. P. Stanley. I: Monomial ideals
• Prime filtrations of monomial ideals and polarizations
• Stanley decompositions and partitionable simplicial complexes
• How to compute the Stanley depth of a monomial ideal

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