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| Title: | Ratliff-Rush filtration, regularity and depth of higher associated graded modules: Part I |
| Authors: | PUTHENPURAKAL, TJ |
| Keywords: | hilbert coefficients
local cohomology
normal ideals
rings
algebras |
| 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 |
| URI: | 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 |
| ISSN: | 0022-4049 |
| Appears in Collections: | Article
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