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FPT University|e-Resources > Bài báo khoa học (Scientific Articles) > Articles published by FPT lecturers >
Please use this identifier to cite or link to this item: http://ds.libol.fpt.edu.vn/handle/123456789/2005

Title: F-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic p > 0
Authors: Pham, Hung Quy
Shimomoto, Kazuma
Keywords: F-injective ring
F-pure ring
Frobenius closure
Filter regular sequence
Generalized CohenMacaulay ring
Local cohomology
Limit closure
Issue Date: 11-Jan-2016
Abstract: Abstract: The main aim of this article is to study the relation between $ F $-injective singularity and the Frobenius closure of parameter ideals in Noetherian rings of positive characteristic. The paper consists of the following themes, including many other topics.\ begin {enumerate}\ item We prove that if every parameter ideal of a Noetherian local ring of prime characteristic $ p> 0$ is Frobenius closed, then it is $ F $-injective.
Description: 28 pages
URI: http://ds.libol.fpt.edu.vn/handle/123456789/2005
Appears in Collections:Articles published by FPT lecturers

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