Simplicial trees are sequentially Cohen-Macaulay
From MaRDI portal
Publication:1878449
DOI10.1016/j.jpaa.2003.11.014zbMath1045.05029arXivmath/0308264OpenAlexW2069493806MaRDI QIDQ1878449
Publication date: 19 August 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0308264
Related Items (43)
Powers of componentwise linear ideals: the Herzog-Hibi-Ohsugi conjecture and related problems ⋮ The size of Betti tables of edge ideals arising from bipartite graphs ⋮ Monomial Ideals of Forest Type ⋮ Lyubeznik Table of Sequentially Cohen–Macaulay Rings ⋮ Stanley-Reisner Rings ⋮ On the Stanley-Reisner ideal of an expanded simplicial complex ⋮ Cohen-Macaulay admissible clutters ⋮ On algebraic characterization of SSC of the Jahangir's graph \(\mathcal{J}_{n,m}\) ⋮ Projective dimension and regularity of path ideals of cycles ⋮ Splittable ideals and the resolutions of monomial ideals ⋮ Algebraic properties of classes of path ideals of posets ⋮ Betti numbers of monomial ideals via facet covers ⋮ Some classes of abstract simplicial complexes motivated by module theory ⋮ Vertex decomposability and regularity of very well-covered graphs ⋮ Depth of Powers of Squarefree Monomial Ideals (Research) ⋮ Unnamed Item ⋮ Depths and Cohen-Macaulay properties of path ideals ⋮ Some algebraic properties of t-clique ideals ⋮ Monomial resolutions supported by simplicial trees ⋮ Squarefree monomial ideals with maximal depth ⋮ Shellability of simplicial complexes and simplicial complexes with the free vertex property ⋮ Simplicial cycles and the computation of simplicial trees ⋮ Minimal free resolution of monomial ideals by iterated mapping cone ⋮ Shellable graphs and sequentially Cohen-Macaulay bipartite graphs ⋮ Algebraic Properties of Product of Graphs ⋮ Whiskers and sequentially Cohen-Macaulay graphs ⋮ Cohen-Macaulay, shellable and unmixed clutters with a perfect matching of König type ⋮ Algebraic Properties of the Path Ideal of a Tree ⋮ The \(v\)-number of edge ideals ⋮ On a class of squarefree monomial ideals of linear type ⋮ Expansion of a simplicial complex ⋮ Cohen–Macaulay modifications of the facet ideal of a simplicial complex ⋮ Set relations and set systems induced by some families of integral domains ⋮ Chordality, \(d\)-collapsibility, and componentwise linear ideals ⋮ Simplicial complexes are game complexes ⋮ Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity ⋮ Cohen-Macaulay growing graphs ⋮ Minimal Free Resolutions of Complete Bipartite Graph Ideals ⋮ Decompositions of Monomial Ideals in Real Semigroup Rings ⋮ Sequentially Cohen-Macaulay Mixed Product Ideals ⋮ Sequentially Cohen-Macaulay edge ideals ⋮ Breaking up simplicial homology and subadditivity of syzygies ⋮ On the Characterization off-Ideals
Cites Work
- Unnamed Item
- Resolutions of Stanley-Reisner rings and Alexander duality
- On the ideal theory of graphs
- Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
- Resolutions by mapping cones
- Cohen-Macaulay properties of square-free monomial ideals
- The facet ideal of a simplicial complex
- Dirac's theorem on chordal graphs and Alexander duality
- Componentwise linear ideals
- Shellable Nonpure Complexes and Posets. I
This page was built for publication: Simplicial trees are sequentially Cohen-Macaulay
