How to compute the multigraded Hilbert depth of a module

DOI10.1002/mana.201300120zbMath1302.05212arXiv1209.0084OpenAlexW2963096381MaRDI QIDQ2922201

Julio José Moyano-Fernández, Bogdan Ichim

Publication date: 9 October 2014

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.0084

zbMATH Keywords

Stanley depthHilbert decompositions

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

Four Generated, Squarefree, Monomial Ideals ⋮ Stanley depth and the lcm-lattice ⋮ The behavior of Stanley depth under polarization ⋮ Stanley depth and simplicial spanning trees ⋮ An algorithm to compute the Hilbert depth ⋮ LCM Lattices and Stanley Depth: A First Computational Approach ⋮ How to compute the Stanley depth of a module ⋮ An Algorithm for Computing the Multigraded Hilbert Depth of a Module

Uses Software

• Hdepth

Cites Work

• Stanley decompositions and Hilbert depth in the Koszul complex
• Finite filtrations of modules and shellable multicomplexes
• Remarks on Hilbert series of graded modules over polynomial rings
• Linear Diophantine equations and local cohomology
• The Alexander duality functors and local duality with monomial support
• On a conjecture of R. P. Stanley. I: Monomial ideals
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• Hilbert depth of graded modules over polynomial rings in two variables
• Stanley depth of multigraded modules
• Stanley decompositions and partitionable simplicial complexes
• Stanley conjecture in small embedding dimension
• How to compute the Stanley depth of a monomial ideal
• Hilbert depth of powers of the maximal ideal
• Some remarks on the Stanley's depth for multigraded modules
• Stanley decompositions and localization
• A Survey on Stanley Depth

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