The tight integral closure of a set of ideals

DOI10.1006/jabr.1999.7954zbMath0966.13003OpenAlexW2067816303MaRDI QIDQ1583648

Melvin Hochster

Publication date: 19 July 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7954

zbMATH Keywords

polynomial ringsBriançon-Skoda theoremcomplete tensor productsone-dimensional Noetherian ringstight integral closure of a set of ideals

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (6)

A generalization of tight closure and multiplier ideals ⋮ CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE ⋮ Lefschetz extensions, tight closure and big Cohen-Macaulay algebras ⋮ Pure subrings of regular rings are pseudo-rational ⋮ F-rationality of Rees algebras ⋮ The blowup closure of a set of ideals with applications to \(TI\) closure.

Cites Work

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• Infinite integral extensions and big Cohen-Macaulay algebras
• Tight closure and strong F-regularity
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Tightly closed ideals
• Tight closure
• Relative Lipschitz-Saturation
• F-Regularity, Test Elements, and Smooth Base Change
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids

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