Behavior of test ideals under smooth and étale homomorphisms.

DOI10.1006/jabr.2001.9010zbMath1063.13005OpenAlexW2057602945MaRDI QIDQ5957506

Ana Bravo, Karen E. Smith

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9010

zbMATH Keywords

flat base changetest idealtight closureétale mapFrobenius actionsmooth map

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) Étale and flat extensions; Henselization; Artin approximation (13B40)

Related Items (8)

Bernstein–Sato functional equations, V-filtrations, and multiplier ideals of direct summands ⋮ Nilpotence of Frobenius action and the Hodge filtration on local cohomology ⋮ Phantom depth and flat base change ⋮ A dual to tight closure theory ⋮ On a generalization of test ideals ⋮ Uniform approximation of Abhyankar valuation ideals in function fields of prime characteristic ⋮ On the behavior of test ideals under finite morphisms ⋮ Test ideals and base change problems in tight closure theory

Cites Work

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• Multiplier Ideals, Vanishing Theorem and Applications
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• Test Ideals in Local Rings
• Strong and weak F -regularity are equivalent for graded rings
• Extension of weakly and strongly F-regular rings by flat maps

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