Some properties of the multiplicity sequence for arbitrary ideals

DOI10.1216/RMJ-2010-40-6-1809zbMath1211.13015MaRDI QIDQ618662

V. H. Jorge Pérez, Roberto Callejas-Bedregal

Publication date: 17 January 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

integral closuremultiplicity sequencereductions of idealsRees's theorem

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Cites Work

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• On multiplicities of local rings
• Multiplicities of a bigraded ring and intersection theory
• A numerical characterization of the \(S_{2}\)-ification of a Rees algebra
• On a Certain Hilbert Polynomial
• Segre Numbers and Hypersurface Singularities
• Joins and Intersections
• A numerical characterization of reduction ideals
• Intersection numbers, Segre numbers and generalized Samuel multiplicities

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