LCM Lattices and Stanley Depth: A First Computational Approach

DOI10.1080/10586458.2015.1005257zbMath1341.05254arXiv1408.4255OpenAlexW2964173664MaRDI QIDQ2801068

Lukas Katthän, Julio José Moyano-Fernández, Bogdan Ichim

Publication date: 19 April 2016

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.4255

zbMATH Keywords

monomial idealStanley depthStanley decompositionLCM lattices

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Combinatorial aspects of commutative algebra (05E40)

Related Items (6)

Depth and Stanley depth of edge ideals associated to some line graphs ⋮ Stanley depth and the lcm-lattice ⋮ On the Stanley depth of powers of some classes of monomial ideals ⋮ Stanley depth and simplicial spanning trees ⋮ Betti posets and the Stanley depth ⋮ Polarization and spreading of monomial ideals

Uses Software

• Macaulay2

Cites Work

• Finite atomic lattices and resolutions of monomial ideals
• A lower bound of Stanley depth of monomial ideals
• Linear Diophantine equations and local cohomology
• Generic and cogeneric monomial ideals
• The lcm-lattice in monomial resolutions
• On a conjecture of R. P. Stanley. I: Monomial ideals
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• How to compute the multigraded Hilbert depth of a module
• Two lower bounds for the Stanley depth of monomial ideals
• A Survey on Stanley Depth
• An Algorithm for Computing the Multigraded Hilbert Depth of a Module

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