Asymptotic prime ideals of \(S_{2}\)-filtrations

DOI10.1016/j.jalgebra.2018.01.040zbMath1400.13008OpenAlexW2791204336MaRDI QIDQ1643105

Cătălin Ciupercă

Publication date: 18 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.01.040

zbMATH Keywords

\((S_2)\) property\(S_2\)-ificationintegral closureasymptotic prime idealsymbolic power of prime ideal

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Uses Software

• Macaulay2

Cites Work

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• Normal Rees algebras
• On the associated graded ring of an ideal
• On asymptotic prime divisors
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• A note on finite ring extensions
• Symbolic Powers of Prime Ideals and Their Topology
• Symbolic powers of prime ideals with applications to hypersurface rings
• Symbolic powers of prime ideals and special graded algebras
• Rees rings and form rings of almost complete intersections
• Powers of Ideals Having Small Analytic Deviation
• On the Depth of Blowup Algebras of Ideals with Analytic Deviation One
• First coefficient ideals and the \(S_2\)-ification of a Rees algebra
• Degrees of multiplicity functions for equimultiple ideals

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