Simplicial complexes satisfying Serre's condition: a survey with some new results

DOI10.1216/JCA-2014-6-4-455zbMath1345.13014OpenAlexW1965642562MaRDI QIDQ485958

M. R. Pournaki, Naoki Terai, Siamak Yassemi, Seyed Amin Seyed Fakhari

Publication date: 14 January 2015

Published in: Journal of Commutative Algebra (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jca/1420466340

zbMATH Keywords

Cohen-Macaulay simplicial complexsimplicial complex(\(S_r\)) simplicial complexsequentially (\(S_r\)) simplicial complexsequentially Cohen-Macaulay simplicial complex

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Other special types of modules and ideals in commutative rings (13C13)

Related Items (6)

Stanley-Reisner Rings ⋮ A generalized Serre’s condition ⋮ On the diameter of dual graphs of Stanley-Reisner rings and Hirsch type bounds on abstractions of polytopes ⋮ On the \(h\)-vector of \((S_r)\) simplicial complexes ⋮ Rank selection and depth conditions for balanced simplicial complexes ⋮ On the minimal free resolution of symbolic powers of cover ideals of graphs

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