Uniform behaviour of the Frobenius closures of ideals generated by regular sequences

DOI10.1016/j.jalgebra.2005.01.025zbMath1117.13006arXivmath/0501501OpenAlexW1998439229MaRDI QIDQ2576983

Mordechai Katzman, Rodney Y. Sharp

Publication date: 29 December 2005

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

Full work available at URL: https://arxiv.org/abs/math/0501501

zbMATH Keywords

local cohomologyFrobenius closure

Mathematics Subject Classification ID

Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (20)

Frobenius test exponent for ideals generated by filter regular sequences ⋮ Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure ⋮ On the uniform bound of Frobenius test exponents ⋮ Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings ⋮ Some extensions of Hilbert-Kunz multiplicity ⋮ Graded annihilators and tight closure test ideals ⋮ Tight closure test exponents for certain parameter ideals ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ Lyubeznik numbers, 𝐹-modules and modules of generalized fractions ⋮ Tight closure of parameter ideals in local rings \(F\)-rational on the punctured spectrum ⋮ On the Frobenius closure of parameter ideals in local rings F-injective on the punctured spectrum ⋮ \(F\)-nilpotent rings and permanence properties ⋮ Notes on the Frobenius test exponents ⋮ Right and left modules over the Frobenius skew polynomial ring in theF-finite case ⋮ A linear bound for Frobenius powers and an inclusion bound for tight closure ⋮ An excellent $F$-pure ring of prime characteristic has a big tight closure test element ⋮ Upper bound of multiplicity in prime characteristic ⋮ A sufficient condition for the finiteness of Frobenius test exponents ⋮ On the Hartshorne–Speiser–Lyubeznik theorem about Artinian modules with a Frobenius action ⋮ Homological properties of pinched Veronese rings

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