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|Title: ||Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I|
|Authors: ||PUTHENPURAKAL, TJ|
|Keywords: ||hilbert coefficients|
|Issue Date: ||2007|
|Publisher: ||ELSEVIER SCIENCE BV|
|Citation: ||JOURNAL OF PURE AND APPLIED ALGEBRA, 208(1), 159-176|
|Abstract: ||In this paper we introduce a new technique to study associated graded modules. Let (A, m) be a Noetherian local ring with depth A >= 2. Our techniques give a necessary and sufficient condition for depth G(m)n (A) >= 2 for all n >> 0. Other applications are also included; most notable is an upper bound regarding the Ratliff-Rush filtration. (c) 2005|
|Appears in Collections:||Article|
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