Computing the core of ideals in arbitrary characteristic

DOI10.1016/j.jalgebra.2007.10.009zbMath1140.13007arXiv1210.0067OpenAlexW2156900066MaRDI QIDQ926845

Louiza Fouli

Publication date: 21 May 2008

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

Full work available at URL: https://arxiv.org/abs/1210.0067

zbMATH Keywords

core of an idealintegral closure of an idealminimal reduction

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) 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) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (3)

Minimal reductions and core of ideals in pullbacks ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory

Uses Software

• Macaulay2

Cites Work

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• The core of ideals in arbitrary characteristic
• The core of zero-dimensional monomial ideals
• General elements and joint reductions
• The Koszul algebra of a codimension 2 embedding
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• Cores of ideals in 2-dimensional regular local rings
• Adjoints of ideals in regular local rings (with an appendix by Steven Dale Cutkosky)
• Core and residual intersections of ideals
• On a non-vanishing conjecture of Kawamata and the core of an ideal
• On the core of ideals
• Linkage and the Koszul Homology of Ideals
• Core versus graded core, and global sections of line bundles
• The structure of the core of ideals

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