Pure and Cohen–Macaulay Simplicial Complexes Associated with Squarefree Lexsegment Ideals

DOI10.1080/00927872.2011.605409zbMath1262.13035OpenAlexW1990296124MaRDI QIDQ4909083

Vittoria Bonanzinga, Loredana Sorrenti, Naoki Terai

Publication date: 12 March 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2011.605409

zbMATH Keywords

Stanley-Reisner ringCohen-Macaulayunmixedsquarefree lexsegment ideal

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (2)

A generalization of Eagon–Reiner’s theorem and a characterization of bi-CM_t bipartite and chordal graphs ⋮ Classification of Cohen-Macaulay \(t\)-spread lexsegment ideals via simplicial complexes

Cites Work

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• Rings with monomial relations having linear resolutions
• The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem
• Combinatorics and commutative algebra.
• Stanley decompositions and partitionable simplicial complexes
• Arithmetical Ranks of Stanley–Reisner Ideals of Simplicial Complexes with a Cone

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