\(\star\)-independence and special tight closure.

DOI10.1006/jabr.2001.9074zbMath1057.13004OpenAlexW1975682168MaRDI QIDQ1599598

Adela Vraciu

Publication date: 7 August 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9074

zbMATH Keywords

characteristic \(p\)tight closure*-independencespecial tight closure

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 New Version of α-Tight Closure ⋮ A length characterization of \(*\)-spread ⋮ Reductions and special parts of closures ⋮ The cl-core of an ideal ⋮ Slopes of vector bundles on projective curves and applications to tight closure problems ⋮ A formula for the *-core of an ideal

Cites Work

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• Tight closure and elements of small order in integral extensions
• A measure of integrity for local analytic algebras
• Tight closure of parameter ideals
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• A tight closure proof of Fujita's freeness conjecture for very ample line bundles
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• F-Regularity, Test Elements, and Smooth Base Change
• Test Ideals in Local Rings
• Extension of weakly and strongly F-regular rings by flat maps

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