The structure of the core of ideals

DOI10.1007/PL00004502zbMath0992.13003arXivmath/0210069OpenAlexW1999983115MaRDI QIDQ5949432

Claudia Polini, Alberto Corso, Bernd Ulrich

Publication date: 12 September 2002

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210069

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Linkage, complete intersections and determinantal ideals (13C40) Structure, classification theorems for modules and ideals in commutative rings (13C05) 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 (25)

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 ⋮ Coefficient ideals in dimension two ⋮ Minimal reductions and cores of edge ideals ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ Residual intersections and core of modules ⋮ A formula for the core of certain strongly stable ideals ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ A characterization of two-dimensional rational singularities via core of ideals ⋮ Computing the core of ideals in arbitrary characteristic ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ A formula for the core of an ideal ⋮ Core and residual intersections of ideals ⋮ Core of ideals of Noetherian local rings ⋮ Annihilators of graded components of the canonical module, and the core of standard graded algebras ⋮ Symmetry in the core of a zero-dimensional monomial ideal ⋮ A formula for the *-core of an ideal ⋮ Nakayama closures, interior operations, and core-hull duality -- with applications to tight closure theory ⋮ Row ideals of certain normal ideals ⋮ On the depth of the associated graded ring of an ideal.

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