Powers of Ideals Generated by Quadratic Sequences

DOI10.2307/2154739zbMath0819.13004OpenAlexW4243979222MaRDI QIDQ4305942

Komaranapuram N. Raghavan

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2154739

zbMATH Keywords

Rees algebrarelation typequadratic sequencedepth of the residue class ringsweak \(d\)-sequences

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Rings with straightening laws, Hodge algebras (13F50)

Related Items (9)

QUADRATIC SEQUENCES AND POWERS OF IDEALS ⋮ Some uniform properties of 2-dimensional local rings ⋮ Mixed Hilbert coefficients of homogeneous \(d\)-sequences and quadratic sequences ⋮ A note on powers of ideals ⋮ On the depth of certain graded rings associated to an ideal ⋮ Regularity of powers of (parity) binomial edge ideals ⋮ Regularity of powers of quadratic sequences with applications to binomial ideals ⋮ On the Depth of Blowup Algebras of Ideals with Analytic Deviation One ⋮ The Castelnuovo regularity of the Rees algebra and the associated graded ring

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation complexes of blowing-up rings. II
• The Koszul homology of an ideal
• Sequences of linear type
• Determinantal ideals of linear type
• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• On the symmetric and Rees algebras of an ideal
• Powers of ideals generated by weak d-sequences
• Approximation complexes of blowing-up rings
• Examples of Gorenstein domains and symbolic powers of monomial space curves
• The theory of d-sequences and powers of ideals
• On relative regular sequences
• Blow-up of Straightening-Closed Ideals in Ordinal Hodge Algebras
• Residual intersections.
• Koszul Homology and the Structure of Low Codimension Cohen-Macaulay Ideals
• Toward a Theory of Buchsbaum Singularities
• A simple proof that ideals generated by d-sequences are of linear type
• The ratliff-rush ideals in a noetherian ring
• Powers of Ideals Having Small Analytic Deviation
• Asymptotic Stability of Ass(M/I n M)
• The asymptotic nature of the analytic spread

This page was built for publication: Powers of Ideals Generated by Quadratic Sequences