Weakly Polymatroidal Ideals

DOI10.1142/S1005386706000666zbMath1104.13013MaRDI QIDQ3421818

Masako Kokubo, Takayuki Hibi

Publication date: 8 February 2007

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

zbMATH Keywords

linear resolutionweakly polymatroidal ideallinear quotientprestable ideal

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (10)

Recursive Betti numbers for Cohen-Macaulay \(d\)-partite clutters arising from posets ⋮ Strong shellability of simplicial complexes ⋮ Algebraic properties of ideals of poset homomorphisms ⋮ Weakly polymatroidal ideals with applications to vertex cover ideals ⋮ Monomial ideals and toric rings of Hibi type arising from a finite poset ⋮ Some algebraic properties of t-clique ideals ⋮ Powers of the vertex cover ideals ⋮ The uniform face ideals of a simplicial complex ⋮ The Behaviors of Expansion Functor on Monomial Ideals and Toric Rings ⋮ Quasi-matroidal classes of ordered simplicial complexes

Cites Work

• Minimal resolutions of some monomial ideals
• Squarefree lexsegment ideals
• Cohen-Macaulay polymatroidal ideals
• Distributive lattices, bipartite graphs and Alexander duality
• Componentwise linear ideals
• Monomial ideals whose powers have a linear resolution
• Using Algebraic Geometry
• Prestable ideals and Sagbi bases
• The monomial ideal of a finite meet-semilattice
• Level Rings Arising from Meet-Distributive Meet-Semilattices

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