Resolutions of Facet Ideals
From MaRDI portal
Publication:3158212
DOI10.1081/AGB-120037222zbMath1089.13014arXivmath/0307241MaRDI QIDQ3158212
Publication date: 21 January 2005
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0307241
Trees (05C05) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items
The size of Betti tables of edge ideals arising from bipartite graphs, Some algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular trees, Monomial Ideals of Forest Type, Dirac's theorem on chordal graphs and Alexander duality, Stanley-Reisner Rings, Morse resolutions of powers of square-free monomial ideals of projective dimension one, Strong shellability of simplicial complexes, Splittings of monomial ideals, On some algebraic properties of edge ideals of ladder graphs, Splittable ideals and the resolutions of monomial ideals, Retracts and algebraic properties of cut algebras, Behaviors of pairs of dimensions and depths of edge ideals, Free resolutions of some edge ideals of simple graphs, Simplicial resolutions of powers of square-free monomial ideals, Betti numbers of monomial ideals via facet covers, Very well-covered graphs by Betti splittings, On Betti numbers in the linear strand and regularity of triangular graphs, Nonvanishing Betti numbers of edge ideals of weakly chordal graphs, Some interpretations for algebraic invariants of edge ideals of hypergraphs via combinatorial invariants, Regularity of powers of forests and cycles, Unnamed Item, Vertex decomposability and regularity of very well-covered graphs, Regularity of powers of bipartite graphs, Homological invariants of the Stanley–Reisner ring of a k-decomposable simplicial complex, Betti numbers of edge ideals of some split graphs, Koszulness, Krull dimension, and other properties of graph-related algebras, Algebraic study on Cameron-Walker graphs, Standard graded vertex cover algebras, cycles and leaves, On Betti numbers of edge ideals of crown graphs, On the \(h\)-vector of a simplicial complex with Serre's condition, Shellable quasi-forests and their \(h\)-triangles, Regularity and projective dimension of some class of well-covered graphs, Tetrahedral curves via graphs and Alexander duality, Regularity and projective dimension of the edge ideal of a generalized theta graph, Regularity of powers of squarefree monomial ideals, Regularity and projective dimension of the edge ideal of $C_5$-free vertex decomposable graphs, Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs, Linear resolutions of quadratic monomial ideals, Algebraic Properties of Product of Graphs, Whiskers and sequentially Cohen-Macaulay graphs, Codismantlability and projective dimension of the Stanley-Reisner ring of special hypergraphs, Monomial ideals, edge ideals of hypergraphs, and their graded Betti numbers, Cohen-Macaulay, shellable and unmixed clutters with a perfect matching of König type, Unmixed Monomial Ideals of Dimension Two and Their Cohen–Macaulay Properties, Ideals with linear quotients, Bouquets, vertex covers and edge ideals, Regularity, depth and arithmetic rank of bipartite edge ideals, HYPERGRAPHS AND REGULARITY OF SQUARE-FREE MONOMIAL IDEALS, Cohen--Macaulay chordal graphs, Expansion of a simplicial complex, Regularity and \(a\)-invariant of Cameron-Walker graphs, Dominating induced matchings of finite graphs and regularity of edge ideals, Nonvanishing of Betti Numbers of Edge Ideals and Complete Bipartite Subgraphs, Regularity of bicyclic graphs and their powers, Blowup algebras of square-free monomial ideals and some links to combinatorial optimization problems, Monomial Ideals Arising From Distributive Lattices, Betti Numbers of Hypergraphs, F-ideals and f-graphs, Betti numbers of some circulant graphs, Graded Betti numbers of crown edge ideals, Regularity of powers of edge ideals of unicyclic graphs, Simplicial resolutions for the second power of square-free monomial ideals, Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals, Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity, Some algebraic properties of hypergraphs, Betti numbers of fat forests and their Alexander dual, Regularity of symbolic powers of edge ideals of unicyclic graphs, THE PROJECTIVE DIMENSION OF THE EDGE IDEAL OF A VERY WELL-COVERED GRAPH, On the Linear Strand of an Edge Ideal, On the sequentially Cohen–Macaulay properties of almost complete multipartite graphs
Cites Work
