A bound on the reduction number of a primary ideal

DOI10.1090/S0002-9939-99-05393-9zbMath0942.13001OpenAlexW2134038245MaRDI QIDQ4942900

Maria Evelina Rossi

Publication date: 15 March 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05393-9

zbMATH Keywords

multiplicityHilbert coefficientsbound on reduction number

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (23)

NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL TWO-DIMENSIONAL SINGULARITIES ⋮ Sally modules of rank one ⋮ Buchsbaumness of the associated graded rings of filtration ⋮ Bounds for the reduction number of primary ideal in dimension three ⋮ Ratliff-Rush filtration, Hilbert coefficients and reduction number of integrally closed ideals ⋮ Upper bounds of Hilbert coefficients and Hilbert functions ⋮ On the Hilbert-Samuel coefficients of Frobenius powers of an ideal ⋮ On the computation of the Ratliff-Rush closure, associated graded ring and invariance of a length ⋮ On the reduction numbers of monomial ideals ⋮ Bounding the first Hilbert coefficient ⋮ Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers ⋮ On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ On the Vasconcelos inequality for the fiber multiplicity of modules ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Depth of fiber cones of ideals with almost minimal mixed multiplicity ⋮ Apery and micro-invariants of a one-dimensional Cohen-Macaulay local ring and invariants of its tangent cone ⋮ Reduction numbers of equimultiple ideals ⋮ Fiber Cones of Ideals with Almost Minimal Multiplicity ⋮ An Upper Bound on the Reduction Number of an Ideal ⋮ Variation of Hilbert coefficients ⋮ On the first normalized Hilbert coefficient ⋮ Depth of associated graded rings via Hilbert coefficients of ideals ⋮ SALLY MODULES AND REDUCTION NUMBERS OF IDEALS

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