Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals

DOI10.1016/j.aim.2010.08.005zbMath1204.13015OpenAlexW2963550361MaRDI QIDQ616884

Nguyên Công Minh, Ngô Viêt Trung

Publication date: 12 January 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2010.08.005

zbMATH Keywords

graphmonomial idealsimplicial complexsymbolic powerCohen-Macaulaynesslinear inequalitiesStanley-Reisner idealmatroid complex

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14)

Related Items (37)

Stanley-Reisner Rings ⋮ Depth Functions and Symbolic Depth Functions of Homogeneous Ideals ⋮ Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Depth and regularity modulo a principal ideal ⋮ A remark on the local cohomology modules of a union of disjoint matroids ⋮ h-Vectors of Matroid Complexes ⋮ Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals ⋮ On the associated primes and the depth of the second power of squarefree monomial ideals ⋮ A note on monomial ideals which are Cohen–Macaulay in a fixed codimension ⋮ Simplicial complexes with rigid depth ⋮ A note on almost Cohen–Macaulay modules ⋮ Regularity of symbolic powers and arboricity of matroids ⋮ Matroid configurations and symbolic powers of their ideals ⋮ The a0-invariants of powers of a two-dimensional squarefree monomial ideal ⋮ The first cotangent cohomology module for matroids ⋮ On the second powers of Stanley-Reisner ideals ⋮ Decreasing behavior of the depth functions of edge ideals ⋮ Licci squarefree monomial ideals generated in degree two or with deviation two ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ Cohen–Macaulayness of Generically Complete Intersection Monomial Ideals ⋮ Steiner systems and configurations of points ⋮ Shellability of simplicial complexes and simplicial complexes with the free vertex property ⋮ Simplicial complexes satisfying Serre's condition: a survey with some new results ⋮ Cohen-Macaulayness of saturation of the second power of edge ideals ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals ⋮ Equality of ordinary and symbolic powers of Stanley-Reisner ideals ⋮ The \(v\)-number of edge ideals ⋮ Associated radical ideals of monomial ideals ⋮ Symbolic powers and matroids ⋮ Stability of depths of powers of edge ideals ⋮ Symbolic powers of sums of ideals ⋮ Level property of ordinary and symbolic powers of Stanley-Reisner ideals ⋮ Cohen–Macaulayness and Limit Behavior of Depth for Powers of Cover Ideals ⋮ The Edge Ideals of Complete Multipartite Hypergraphs ⋮ Depth functions of symbolic powers of homogeneous ideals ⋮ A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals ⋮ Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals

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