On the Frobenius closure of parameter ideals in local rings F-injective on the punctured spectrum

DOI10.1080/00927872.2023.2215878OpenAlexW4378807151MaRDI QIDQ6094256

Unnamed Author, Unnamed Author

Publication date: 10 October 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2215878

zbMATH Keywords

generalized Cohen-MacaulayFrobenius closure\(F\)-injectiveFrobenius test exponent

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Cites Work

• \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\)
• A splitting theorem for local cohomology and its applications
• Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings
• Local cohomological dimension in characteristic p
• On the uniform bound of Frobenius test exponents
• Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum
• Frobenius test exponent for ideals generated by filter regular sequences
• Upper bound of multiplicity in prime characteristic
• \(F\)-injectivity and Buchsbaum singularities
• Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals
• Uniform behaviour of the Frobenius closures of ideals generated by regular sequences
• On the Hartshorne–Speiser–Lyubeznik theorem about Artinian modules with a Frobenius action
• Verallgemeinerte COHEN-MACAULAY-Moduln
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• A sufficient condition for the finiteness of Frobenius test exponents
• Notes on the Frobenius test exponents
• Bounds for test exponents

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