A note on the \(k\)-Buchsbaum property of symbolic powers of Stanley-Reisner ideals

DOI10.3836/tjm/1313074452zbMath1235.13017OpenAlexW2043018683MaRDI QIDQ719107

Yukio Nakamura, Nguyên Công Minh

Publication date: 27 September 2011

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1313074452

zbMATH Keywords

monomial idealsymbolic powerconnected graphCohen-Macaulay\(k\)-BuchsbaumStanley-Reisner

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Algebraic combinatorics (05E99) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55)

Related Items

A remark on the local cohomology modules of a union of disjoint matroids ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals

Cites Work

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• The Buchsbaum property of symbolic powers of Stanley-Reisner ideals of dimension 1
• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• On the number of faces of simplicial complexes and the purity of Frobenius

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