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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/123456789/2014

Title: A study of the length function of generalized fractions of modules
Authors: Pham, Hung Quy
Morales, Marcel
Keywords: System of parameters
Generalized fractions
Limit closure
Local cohomology
Hilbert-Kunz fuction
Issue Date: 28-May-2014
Abstract: Abstract: Let $(R,\ frak m) $ be a Noetherian local ring and $ M $ a finitely generated $ R $- module of dimension $ d $. Let $\ underline {x}= x_1,..., x_d $ be a system of parameters of $ M $ and $\ underline {n}=(n_1,..., n_d) $ a $ d $-tuple of positive integers. In this paper we study the length of generalized fractions $ M (1/(x_1,..., x_d, 1)) $ which was introduced by Sharp and Hamieh in\ cite {ShH85}. First, we study the growth of the function $ J_ {\ underline {x}, M}(\ underline {n})=\ ell (M (1/(x_1^{n_1},..., x_d^{n_d}, 1)))-n_1... n_d e (\ ...
Description: 18 pages
URI: http://ds.libol.fpt.edu.vn/handle/123456789/2014
Appears in Collections:Articles published by FPT lecturers

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