On the core of ideals

DOI10.1112/S0010437X04000910zbMath1089.13002arXivmath/0405213OpenAlexW2096220127MaRDI QIDQ4660020

Ngô Viêt Trung, Craig Huneke

Publication date: 21 March 2005

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405213

zbMATH Keywords

corelocal ringgraded ringminimal reductiongenerating elementgraded core

Mathematics Subject Classification ID

Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (24)

Minimal reductions and core of ideals in pullbacks ⋮ The core of ideals in arbitrary characteristic ⋮ Core versus graded core, and global sections of line bundles ⋮ The core of an ideal in Cohen-Macaulay rings ⋮ The core of zero-dimensional monomial ideals ⋮ Core of ideals in one-dimensional Noetherian domains ⋮ Core of ideals in integral domains ⋮ Minimal reductions and cores of edge ideals ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ A characterization of two-dimensional rational singularities via core of ideals ⋮ BLOWUPS AND FIBERS OF MORPHISMS ⋮ The mathematical contributions of Craig Huneke ⋮ Computing the core of ideals in arbitrary characteristic ⋮ A Short Note on Containment of Cores ⋮ The cl-core of an ideal ⋮ A formula for the core of an ideal ⋮ Core of ideals of Noetherian local rings ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ Symmetry in the core of a zero-dimensional monomial ideal ⋮ Bound on the Multiplicity of Almost Complete Intersections ⋮ A formula for the *-core of an ideal ⋮ Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory ⋮ Integral closure, basically full closure, and duals of nonresidual closure operations

This page was built for publication: On the core of ideals