Upper Bounds for the Stanley Depth
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Publication:2881048
DOI10.1080/00927872.2010.523642zbMath1237.13047arXiv1003.3471OpenAlexW2001442690MaRDI QIDQ2881048
Publication date: 3 April 2012
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.3471
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) 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) Cohen-Macaulay modules (13C14)
Related Items (10)
Depth and Stanley depth of edge ideals associated to some line graphs ⋮ Stanley depth and the lcm-lattice ⋮ Stanley depth of the integral closure of monomial ideals ⋮ Stanley depth and symbolic powers of monomial ideals ⋮ Depth and Stanley depth of the edge ideals of the strong product of some graphs ⋮ Depth of factors of square free monomial ideals ⋮ Depth and Stanley depth of the edge ideals of square paths and square cycles ⋮ Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings ⋮ Graph and depth of a monomial squarefree ideal ⋮ The Stanley Conjecture on Intersections of Four Monomial Prime Ideals
Cites Work
- A lower bound of Stanley depth of monomial ideals
- Stanley depth of complete intersection monomial ideals and upper-discrete partitions
- Linear Diophantine equations and local cohomology
- On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
- Prime filtrations of monomial ideals and polarizations
- Stanley depth of multigraded modules
- Stanley decompositions and partitionable simplicial complexes
- Stanley conjecture in small embedding dimension
- On the radical of a monomial ideal
- How to compute the Stanley depth of a monomial ideal
- Some remarks on the Stanley's depth for multigraded modules
- Depth and Stanley Depth of Multigraded Modules
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