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Tight closure and strong test ideals

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Publication:1376304
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DOI10.1016/S0022-4049(97)00053-4zbMath0898.13003MaRDI QIDQ1376304

Craig Huneke

Publication date: 25 October 1998

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)


zbMATH Keywords

tight closureintegral closuretest elementsstrong test 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

\(\mathfrak{m}\)-full and basically full ideals in rings of characteristic \(p\) ⋮ Strong test ideals ⋮ Strong test ideals associated to Cartier algebras ⋮ Test ideals and base change problems in tight closure theory



Cites Work

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  • Tight closure and elements of small order in integral extensions
  • Uniform bounds in noetherian rings
  • F-rational rings have rational singularities
  • Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
  • F-Regularity, Test Elements, and Smooth Base Change
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