Hilbert series and Hilbert depth of squarefree Veronese ideals

DOI10.1016/j.jalgebra.2011.07.027zbMath1237.13032arXiv1008.4108OpenAlexW2963529383MaRDI QIDQ765714

Yulan Wang, Maorong Ge, Jiayuan Lin

Publication date: 22 March 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.4108

zbMATH Keywords

Hilbert seriesStanley depthHilbert depthsquare free Veronese ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

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Cites Work

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• Stanley decompositions and Hilbert depth in the Koszul complex
• Gröbner bases of syzygies and Stanley depth
• On the Stanley depth of squarefree Veronese ideals
• Interval partitions and Stanley depth
• Remarks on Hilbert series of graded modules over polynomial rings
• Stanley depth of multigraded modules
• Stanley conjecture in small embedding dimension
• How to compute the Stanley depth of a monomial ideal
• Stanley depth of square free Veronese ideals
• Hilbert depth of powers of the maximal ideal
• On a Conjecture of Stanley Depth of Squarefree Veronese Ideals
• Stanley depth of complete intersection monomial ideals