Partition and Cohen-Macaulay extenders

DOI10.1016/j.ejc.2021.103488zbMath1486.05329arXiv1911.12791OpenAlexW3216823908MaRDI QIDQ2122677

Alexander Lazar, Bennet Goeckner, Joseph Doolittle

Publication date: 7 April 2022

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.12791

zbMATH Keywords

Cohen-Macaulay complexpartition extender

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Cohen-Macaulay quotients of polynomial rings
• Combinatorial properties of ``cleanness
• Extendable shellability for rank 3 matroid complexes
• Combinatorics and commutative algebra.
• Exposed circuits, linear quotients, and chordal clutters
• Sequential partitions of nonpure simplicial complexes
• Extendable shellability for \(d\)-dimensional complexes on \(d+3\) vertices
• Non-ridge-chordal complexes whose clique complex has shellable Alexander dual
• Chordality, \(d\)-collapsibility, and componentwise linear ideals
• Chordality of clutters with vertex decomposable dual and ascent of clutters
• Decomposable clutters and a generalization of Simon's conjecture
• On \(f\)- and \(h\)-vectors of relative simplicial complexes
• A non-partitionable Cohen-Macaulay simplicial complex
• Shellable Nonpure Complexes and Posets. I
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