Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings

DOI10.1016/j.jalgebra.2006.06.036zbMath1116.13002arXivmath/0607160OpenAlexW2077841819MaRDI QIDQ854914

Mordechai Katzman, Craig Huneke, Yongwei Yao, Rodney Y. Sharp

Publication date: 7 December 2006

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

Full work available at URL: https://arxiv.org/abs/math/0607160

zbMATH Keywords

tight closureFrobenius closuregeneralized Cohen-Macaulay ringstest exponents

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)

Related Items (10)

Frobenius test exponent for ideals generated by filter regular sequences ⋮ On the uniform bound of Frobenius test exponents ⋮ Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals ⋮ 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 ⋮ Upper bound of multiplicity in prime characteristic ⋮ A sufficient condition for the finiteness of Frobenius test exponents

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