Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings

DOI10.1080/00927872.2011.630708zbMath1278.13025OpenAlexW2051303532MaRDI QIDQ2839098

Muhammad Imran Qureshi, Muhammad Ishaq

Publication date: 4 July 2013

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.630708

zbMATH Keywords

monomial idealsStanley depthStanley decomposition

Mathematics Subject Classification ID

Hypergraphs (05C65) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of simplicial complexes (05E45)

Related Items (8)

Some algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular trees ⋮ Depth and Stanley depth of edge ideals associated to some line graphs ⋮ Stanley depth and the lcm-lattice ⋮ Bounds on the Stanley depth and Stanley regularity of edge ideals of clutters ⋮ The behavior of Stanley depth under polarization ⋮ Depth and Stanley depth of the edge ideals of the strong product of some graphs ⋮ Depth and Stanley depth of the edge ideals of square paths and square cycles ⋮ The Stanley regularity of complete intersections and ideals of mixed products

Cites Work

• Interval partitions and Stanley depth
• Computing the Stanley depth
• Linear Diophantine equations and local cohomology
• How to compute the Stanley depth of a monomial ideal
• Upper Bounds for the Stanley Depth
• Depth and Stanley Depth of Multigraded Modules
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• Unnamed Item

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