Cores of ideals in 2-dimensional regular local rings
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Publication:1895961
DOI10.1307/mmj/1029005163zbMath0829.13014OpenAlexW2034275879MaRDI QIDQ1895961
Publication date: 27 November 1995
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1307/mmj/1029005163
Integral closure of commutative rings and ideals (13B22) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)
Related Items (34)
Minimal reductions and core of ideals in pullbacks ⋮ The core of ideals in arbitrary characteristic ⋮ Adjoints of ideals ⋮ The core of a module over a two-dimensional regular local ring ⋮ Core versus graded core, and global sections of line bundles ⋮ 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 ⋮ 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 ⋮ A theorem of Briançon-Skoda type for regular local rings containing a field ⋮ BLOWUPS AND FIBERS OF MORPHISMS ⋮ Good ideals in Gorenstein local rings ⋮ The mathematical contributions of Craig Huneke ⋮ Hilbert coefficients and the Gorenstein property of the associated graded ring. ⋮ Computing the core of ideals in arbitrary characteristic ⋮ A Short Note on Containment of Cores ⋮ Buchsbaum-Rim multiplicities as Hilbert-Samuel multiplicities ⋮ Adjoint ideals and Gorenstein blowups in two-dimensional regular local rings ⋮ Coefficient Ideals and the Gorenstein Property of Blowups ⋮ The cl-core of an ideal ⋮ A formula for the core of an ideal ⋮ Core and residual intersections of ideals ⋮ Core of ideals of Noetherian local rings ⋮ 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 ⋮ Rees algebras of finitely generated torsion -free modules over a two-dimensional regular local ring ⋮ Integral closure, basically full closure, and duals of nonresidual closure operations
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