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Minimaxness and Cofiniteness Properties of Local Cohomology Modules

โœ Scribed by Bahmanpour, Kamal; Naghipour, Reza; Sedghi, Monireh


Book ID
120454926
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
186 KB
Volume
41
Category
Article
ISSN
0092-7872

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Let R be a d-dimensional regular local ring, I an ideal of R, and M a finitely generated R-module of dimension n. We prove that the set of associated primes of Ext i R (R/I, H j I (M)) is finite for all i and j in the following cases: (a) dim M 3; (b) dim R 4; (c) dim M/I M 2 and M satisfies Serre's