Licci squarefree monomial ideals generated in degree two or with deviation two

DOI10.1016/j.jalgebra.2013.06.001zbMath1297.13025OpenAlexW1987121258MaRDI QIDQ2437953

Naoki Terai, Kyouko Kimura, Ken-ichi Yoshida

Publication date: 10 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.06.001

zbMATH Keywords

hypergraphCohen-Macaulay ringlicciedge idealmonomial idealslinkagedeviation

Mathematics Subject Classification ID

Hypergraphs (05C65) Linkage, complete intersections and determinantal ideals (13C40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Combinatorial aspects of commutative algebra (05E40)

Related Items (8)

Perfect linkage of Cohen-Macaulay modules over Cohen-Macaulay rings ⋮ Very well-covered graphs and local cohomology of their residue rings by the edge ideals ⋮ Licci level Stanley-Reisner ideals with height three ⋮ Projective Dimension of String and Cycle Hypergraphs ⋮ Arithmetical rank of a squarefree monomial ideal whose Alexander dual is of deviation two ⋮ Cleanness of Cohen-Macaulay monomial ideal generated by at most five elements ⋮ Licci binomial edge ideals ⋮ 4-dimensional licci Gorenstein Stanley-Reisner ideals

Cites Work

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• On the second powers of Stanley-Reisner ideals
• Buchsbaumness of ordinary powers of two-dimensional square-free monomial ideals
• Equality of ordinary and symbolic powers of Stanley-Reisner ideals
• Cohen-Macaulayness of monomial ideals and symbolic powers of Stanley-Reisner ideals
• Vertex decomposability and regularity of very well-covered graphs
• Cohen-Macaulayness of large powers of Stanley-Reisner ideals
• Cohen-Macaulayness of powers of two-dimensional squarefree monomial ideals
• Arithmetical rank of squarefree monomial ideals of small arithmetic degree
• Linkage theory for algebras with pure resolutions
• The structure of linkage
• Algebraic linkage
• Liaison des variétés algébriques. I
• On graded rings. I
• Introduction to liaison theory and deficiency modules
• On the ideal theory of graphs
• A conjecture of Nagata on graded Cohen-Macaulay rings
• Cohen-Macaulayness for symbolic power ideals of edge ideals
• Well-covered graphs and factors
• Deformation and Linkage of Gorenstein Algebras
• Divisor Class Groups and Deformations
• Linkage and the Koszul Homology of Ideals
• Symbolic powers and matroids
• Liaison of monomial ideals
• Cohen-Macaulay edge ideal whose height is half of the number of vertices
• Bounds For Invariants of Edge-Rings
• A Note on Gorenstein Rings of Embedding Codimension Three
• Residual intersections in Cohen-Macaulay rings

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