Test exponents for modules with finite phantom projective dimension

zbMath1299.13008MaRDI QIDQ2452313

Yongwei Yao, Melvin Hochster

Publication date: 2 June 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1399395824

zbMATH Keywords

tight closuretest elementtest exponent

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Other special types of modules and ideals in commutative rings (13C13)

Related Items (1)

The F-rational signature and drops in the Hilbert-Kunz multiplicity

Cites Work

• Tight closure test exponents for certain parameter ideals
• F-rational rings have rational singularities
• Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
• Localization of tight closure and modules of finite phantom projective dimension.
• Finite Phantom Projective Dimension
• F-Regularity, Test Elements, and Smooth Base Change
• Localization and test exponents for tight closure

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