Depth and Stanley Depth of Multigraded Modules
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Publication:5306004
DOI10.1080/00927870902829056zbMath1193.13025arXiv0812.2080OpenAlexW2033625637MaRDI QIDQ5306004
Publication date: 24 March 2010
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.2080
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) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items (35)
Upper Bounds for the Stanley Depth ⋮ 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 ⋮ Values and bounds for depth and Stanley depth of some classes of edge ideals ⋮ Depth and regularity modulo a principal ideal ⋮ Four Generated, Squarefree, Monomial Ideals ⋮ A procedure to compute prime filtration ⋮ Combinatorial reductions for the Stanley depth of \(I\) and \(S/I\) ⋮ A glimpse to most of the old and new results on very well-covered graphs from the viewpoint of commutative algebra ⋮ On the Stanley depth of powers of edge ideals ⋮ A lower bound for depths of powers of edge ideals ⋮ Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs ⋮ Stanley decompositions and Hilbert depth in the Koszul complex ⋮ Shedding vertices and ass-decomposable monomial ideals ⋮ Unnamed Item ⋮ Stanley depth of weakly polymatroidal ideals ⋮ Depth and Stanley depth of the path ideal associated to an $n$-cyclic graph ⋮ On the Stanley depth of powers of some classes of monomial ideals ⋮ On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces ⋮ Depth and Stanley depth of the edge ideals of the strong product of some graphs ⋮ Stanley decompositions in localized polynomial rings ⋮ Stanley conjecture on monomial ideals of mixed products ⋮ A class of square-free monomial ideals associated to two integer sequences ⋮ Depth and Stanley depth of the edge ideals of square paths and square cycles ⋮ Computing the Stanley depth ⋮ Stanley depth of monomial ideals with small number of generators ⋮ Betti posets and the Stanley depth ⋮ Stanley depth of weakly 0-decomposable ideals ⋮ Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings ⋮ Stanley depth of powers of the edge ideal of a forest ⋮ Stanley depth and size of a monomial ideal ⋮ Graph and depth of a monomial squarefree ideal ⋮ THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH ⋮ The Stanley Conjecture on Intersections of Four Monomial Prime Ideals ⋮ The Stanley regularity of complete intersections and ideals of mixed products
Cites Work
- Finite filtrations of modules and shellable multicomplexes
- Linear Diophantine equations and local cohomology
- Stanley depth of monomial ideals with small number of generators
- Prime filtrations of monomial ideals and polarizations
- Stanley depth of multigraded modules
- Stanley decompositions and partitionable simplicial complexes
- Stanley conjecture in small embedding dimension
- How to compute the Stanley depth of a monomial ideal
- Unnamed Item
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