Sequentially $S_{r}$ simplicial complexes and sequentially $S_{2}$ graphs
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Publication:3005610
DOI10.1090/S0002-9939-2010-10646-9zbMath1220.13014arXiv1004.3376OpenAlexW1747203742MaRDI QIDQ3005610
Rahim Zaare-Nahandi, Siamak Yassemi, Hassan Haghighi, Naoki Terai
Publication date: 9 June 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1004.3376
Stanley-Reisner ringSerre's conditionsequentially Cohen-Macaulaysequentially \(S_r\) simplicial complex
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Structural characterization of families of graphs (05C75)
Related Items
On the notion of sequentially Cohen-Macaulay modules ⋮ Algebraic properties of ideals of poset homomorphisms ⋮ GORENSTEIN AND Sr PATH IDEALS OF CYCLES ⋮ On the \( h \)-triangles of sequentially \((S _r)\) simplicial complexes via algebraic shifting ⋮ Face rings of simplicial complexes with singularities ⋮ A generalized Serre’s condition ⋮ On the \(h\)-vector of a simplicial complex with Serre's condition ⋮ Simplicial complexes satisfying Serre's condition: a survey with some new results ⋮ On the diameter of dual graphs of Stanley-Reisner rings and Hirsch type bounds on abstractions of polytopes ⋮ Cohen-Macaulay and Gorenstein Path Ideals of Trees ⋮ The Edge Ideals of Complete Multipartite Hypergraphs
Cites Work
- Dualizing complex of the face ring of a simplicial poset
- Simplicial join via tensor product
- Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
- On sequentially Cohen-Macaulay complexes and posets
- Sequentially Cohen-Macaulay bipartite graphs: Vertex decomposability and regularity
- Topological results in combinatorics
- Dualisierende Komplexe in der lokalen Algebra und Buchsbaum-Ringe
- Resolutions of Stanley-Reisner rings and Alexander duality
- Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes
- Tensor products of some special rings.
- Combinatorics and commutative algebra.
- Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules
- Whiskers and sequentially Cohen-Macaulay graphs
- Cohen--Macaulay chordal graphs
- Vertex decomposable graphs and obstructions to shellability
- Sequentially Cohen-Macaulay edge ideals
- Bipartite $S_2$ graphs are Cohen-Macaulay
- Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra
- Componentwise linear ideals
- Shellable nonpure complexes and posets. II
- Shellable Nonpure Complexes and Posets. I
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- Unnamed Item
