Locally complete intersection Stanley-Reisner ideals

zbMath1186.13023arXiv0901.3899MaRDI QIDQ2267709

Naoki Terai, Ken-ichi Yoshida

Publication date: 1 March 2010

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

Full work available at URL: https://arxiv.org/abs/0901.3899

zbMATH Keywords

powers of idealsStanley-Reisner idealBuchsbaumnesslocally complete intersection

Mathematics Subject Classification ID

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

Related Items (12)

Stanley-Reisner Rings ⋮ A note on monomial ideals which are Cohen–Macaulay in a fixed codimension ⋮ On the second powers of Stanley-Reisner ideals ⋮ Stability of depth and Cohen-Macaulayness of integral closures of powers of monomial ideals ⋮ Cohen-Macaulayness for symbolic power ideals of edge ideals ⋮ On the Gorensteinness of broken circuit complexes and Orlik-Terao ideals ⋮ Cohen-Macaulayness of large powers of Stanley-Reisner ideals ⋮ Cohen-Macaulayness of saturation of the second power of edge ideals ⋮ On the k-Buchsbaum property of powers of Stanley–Reisner ideals ⋮ Buchsbaumness of ordinary powers of two-dimensional square-free monomial ideals ⋮ Symbolic powers and matroids ⋮ Level property of ordinary and symbolic powers of Stanley-Reisner ideals

Cites Work

• Buchsbaum homogeneous algebras with minimal multiplicity
• On the ideal theory of graphs
• Combinatorics and commutative algebra.
• On the radical of a monomial ideal
• Stanley-Reisner ideals whose powers have finite length cohomologies
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