Alexander duality theorem and second Betti numbers of Stanley-Reisner rings

DOI10.1006/aima.1996.0086zbMath0867.13004OpenAlexW1974863678MaRDI QIDQ677486

Takayuki Hibi, Naoki Terai

Publication date: 1 June 1997

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.1996.0086

zbMATH Keywords

Stanley-Reisner ringsecond Betti number

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Syzygies, resolutions, complexes and commutative rings (13D02) Abstract complexes in algebraic topology (55U05)

Related Items (7)

Componentwise linear ideals ⋮ Stanley-Reisner Rings ⋮ Computation of Betti numbers of monomial ideals associated with cyclic polytopes ⋮ Some results on Betti numbers of Stanley-Reisner rings ⋮ Alexander duality for Stanley-Reisner rings and squarefree \(\mathbb{N}^n\)-graded modules ⋮ Castelnuovo-Mumford regularity and projective dimension of a squarefree monomial ideal ⋮ Resolutions of Stanley-Reisner rings and Alexander duality

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