Rings associated with ideals and analytic spread

DOI10.1017/S0305004100058333zbMath0491.13014OpenAlexW1978149644MaRDI QIDQ3952222

David Rees

Publication date: 1981

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100058333

zbMATH Keywords

heightanalytic spreadRees ringnoetherian ringideal of local ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)

Related Items (29)

Essential sequences and Rees rings ⋮ Asymptotic Sequences over a Module ⋮ Equimultiplicity in Hilbert-Kunz theory ⋮ Associated points and integral closure of modules ⋮ Extended Rees algebras and mixed multiplicities ⋮ On class groups and normality of rees rings ⋮ Analytic spread and non-vanishing of asymptotic depth ⋮ Quintessential-modulated ideals ⋮ A Note on Asymptotic Prime Sequences ⋮ Independent elements and asymptotic sequences ⋮ Associated primes and integral closure of Noetherian rings ⋮ Rees algebras of contracted ideals in two-dimensional regular local rings ⋮ Multigraded Rees algebras and mixed multiplicities ⋮ On the asymptotic sequences over an ideal ⋮ An effective avoidance principle for a class of ideals ⋮ Rees algebras with minimal multiplicity ⋮ The Analytic Spread of Monomial Ideals ⋮ Properties of the Fiber Cone of Ideals in Local Rings ⋮ On the grade and cograde of a Noetherian filtration ⋮ Asymptotic Sequences over Ideals and Projectively Equivalent Ideals with Respect to Modules ⋮ Obituary: David Rees 1918--2013 ⋮ David Rees, FRS 1918–2013 ⋮ Integral closure of ideals and equisingularity ⋮ Independent elements, unmixedness theorems, and asymptotic prime divisors ⋮ Multigraded Rees algebras of \({\mathfrak M}\)-primary ideals in local rings of dimension greater than one ⋮ Around the Eakin-Sathaye theorem ⋮ On the asymptotic cograde of an ideal ⋮ Asymptotic sequences and Rees rings ⋮ Asymptotic sequences

Cites Work

• Locally quasi-unmixed Noetherian rings and ideals of the principal class
• Valuations Associated with a Local Ring (I)
• Valuations Associated with Ideals
• Valuations Associated with Ideals (II)
• Valuations Associated with a Local Ring (II)

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