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A lower bound for Stanley depth of squarefree monomial ideals

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Publication:4633192
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DOI10.3906/mat-1505-90zbMath1424.13017OpenAlexW2430082220MaRDI QIDQ4633192

Guangjun Zhu

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1505-90


zbMATH Keywords

monomial idealStanley conjectureStanley depthSchmitt-Vogel number\(n\)-cyclic graph


Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)




Cites Work

  • A lower bound of Stanley depth of monomial ideals
  • Stanley depth of complete intersection monomial ideals and upper-discrete partitions
  • Note on set-theoretic intersections of subvarieties of projective space
  • How to compute the Stanley depth of a monomial ideal
  • Stanley depth of squarefree monomial ideals
  • Arithmetical rank of the edge ideals of some $n$-cyclic graphs with a common edge


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