On the depth of certain graded rings associated to an ideal

DOI10.1080/00927879508825476zbMath0848.13004OpenAlexW1530921962MaRDI QIDQ4852254

Anna Guerrieri

Publication date: 21 October 1996

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

Full work available at URL: https://doi.org/10.1080/00927879508825476

zbMATH Keywords

associated graded ringdepthRees ringquadratic sequences

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients ⋮ Homology, mixed multiplies and Hilbert coefficients of the fiber cone ⋮ On the associated graded rings of ideals of reduction number 2 ⋮ Estimates on the depth of the associated graded ring ⋮ On the Homology and Fiber Cone of Ideals

Cites Work

• On the symmetric and Rees algebra of an ideal generated by a d-sequence
• On the symmetric and Rees algebras of an ideal
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Powers of ideals generated by weak d-sequences
• On the associated graded ring of an ideal
• The theory of d-sequences and powers of ideals
• On relative regular sequences
• Graded algebras of powers of ideals generated by A-sequences
• A simple proof that ideals generated by d-sequences are of linear type
• Powers of Ideals Generated by Quadratic Sequences

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