A note on the cohen-macaulayness of rees algebras of filtrations

DOI10.1080/00927879208824556zbMath0772.13002OpenAlexW2030846407MaRDI QIDQ4029184

Duong Quoc Viet

Publication date: 15 March 1993

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

Full work available at URL: https://doi.org/10.1080/00927879208824556

zbMATH Keywords

Rees algebraCohen-Macaulaynessfiltration of ideals

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Hilbert coefficients of Hilbert filtrations, Local cohomology of bigraded Rees algebras and normal Hilbert coefficients, Depth formulas for the rees algebras of filtrations, On Depth of Rees Modules and Hilbert Functions, On the depth of the canonical modules of graded rings associated to an ideal, Unnamed Item, Hilbert polynomials of multigraded filtrations of ideals, On conjectures of Itoh and of Lipman on the cohomology of normalized blow-ups, The Cohen–Macaulay and Gorenstein Properties of Rings Associated to Filtrations, Eakin-Sathaye-type theorems for joint reductions and good filtrations of ideals, An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras

Cites Work

• The divisor class group of ordinary and symbolic blow-ups
• On the structure of Noetherian symbolic Rees algebras
• Local cohomology of certain Rees- and form-rings. I
• Certain graded algebras are always Cohen-Macaulay
• The theory of d-sequences and powers of ideals
• When is the rees algebra cohen—macaulay?
• Verallgemeinerte COHEN-MACAULAY-Moduln