The Buchsbaum property of symbolic powers of Stanley-Reisner ideals of dimension 1

DOI10.1016/j.jpaa.2010.04.007zbMath1218.13013OpenAlexW1998074915MaRDI QIDQ712192

Yukio Nakamura, Nguyên Công Minh

Publication date: 28 October 2010

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.2010.04.007

zbMATH Keywords

Stanley-Reisner ringssymbolic powersBuchsbaum rings

Mathematics Subject Classification ID

Applications of graph theory (05C90) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Local cohomology and commutative rings (13D45) Combinatorial aspects of simplicial complexes (05E45)

Related Items

A remark on the local cohomology modules of a union of disjoint matroids ⋮ Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals ⋮ On the second powers of Stanley-Reisner ideals ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals ⋮ A note on the \(k\)-Buchsbaum property of symbolic powers of Stanley-Reisner ideals ⋮ Geometric regularity of powers of two-dimensional squarefree monomial ideals ⋮ Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals

Cites Work

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• On local cohomology of a tetrahedral curve
• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals