Note on i-good filtrations and noetherian rees rings

DOI10.1080/00927878808823612zbMath0641.13007OpenAlexW2022844880MaRDI QIDQ3781841

David E. Rush, Louis J. jun. Ratliff

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823612

zbMATH Keywords

Rees ringArtin-Rees lemmaessentially power filtrations

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Theory of modules and ideals in commutative rings (13C99)

Related Items (6)

Asymptotic properties of filtrations on a module ⋮ Filtrations, integral dependence, reduction, f-Good filtrations ⋮ On the asymptotic behaviour of Hilbert functions of graded rings and modules: applications to the Hilbert-Samuel functions of well filtered modules, multiplicity and analytic spread of nice filtrations ⋮ Note on Noetherian filtrations ⋮ On the grade and cograde of a Noetherian filtration ⋮ Hilbert functions, Hilbert-Samuel quasi-polynomials with respect to \(f\)-good filtrations, multiplicities

Cites Work

• On linearly equivalent ideal topologies
• Notes on essentially powers filtrations
• The converse to a well known theorem on Noetherian rings
• A note on form rings and ideals
• The topology determined by the symbolic powers of primary ideals

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