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Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I

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Title Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I
 
Creator PUTHENPURAKAL, TJ
 
Subject hilbert coefficients
local cohomology
normal ideals
rings
algebras
 
Description 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
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-26T13:16:31Z
2011-12-26T12:54:32Z
2011-12-27T05:42:32Z
2011-07-26T13:16:31Z
2011-12-26T12:54:32Z
2011-12-27T05:42:32Z
2007
 
Type Article
 
Identifier JOURNAL OF PURE AND APPLIED ALGEBRA, 208(1), 159-176
0022-4049
http://dx.doi.org/10.1016/j.jpaa.2005.12.004
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6914
http://hdl.handle.net/10054/6914
 
Language en