Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I
DSpace at IIT Bombay
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Title |
Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I
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Creator |
PUTHENPURAKAL, TJ
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Subject |
hilbert coefficients
local cohomology normal ideals rings algebras |
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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
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Publisher |
ELSEVIER SCIENCE BV
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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 |
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Type |
Article
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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 |
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Language |
en
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