On the \(h\)-vector of a simplicial complex with Serre's condition

DOI10.1016/j.jpaa.2011.05.005zbMath1237.13042OpenAlexW1985440506MaRDI QIDQ659898

M. R. Pournaki, Siamak Yassemi, Afshin Goodarzi, Seyed Amin Seyed Fakhari

Publication date: 24 January 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.05.005

zbMATH Keywords

\(h\)-vectorSerre's condition\(M\)-vector

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Cohen-Macaulay modules (13C14) Combinatorial aspects of simplicial complexes (05E45)

Related Items

Bounds on the regularity and projective dimension of ideals associated to graphs, On the dimension of dual modules of local cohomology and the Serre's condition for the unmixed Stanley-Reisner ideals of small height, On the \( h \)-triangles of sequentially \((S _r)\) simplicial complexes via algebraic shifting, When the positivity of the \(h\)-vector implies the Cohen-Macaulay property, Simplicial complexes satisfying Serre's condition: a survey with some new results, Combinatorics comes to the rescue: \(h\)-vectors in commutative algebra, On the \(h\)-vector of \((S_r)\) simplicial complexes

Cites Work

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