Relative test elements for tight closure

DOI10.1016/S0022-4049(00)00021-9zbMath1009.13001WikidataQ127610149 ScholiaQ127610149MaRDI QIDQ5931467

Anurag K. Singh

Publication date: 3 November 2002

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

zbMATH Keywords

test idealtight closure

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Integral closure of commutative rings and ideals (13B22) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature
• Tight closure and elements of small order in integral extensions
• Uniform bounds in noetherian rings
• Tight closure of parameter ideals
• The multiplier ideal is a universal test ideal
• On the commutation of the test ideal with localization and completion
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Localization of tight closure and modules of finite phantom projective dimension.
• F-Regularity, Test Elements, and Smooth Base Change
• Some results on test elements
• Test Ideals in Local Rings
• Unnamed Item

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