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ASSOCIATED PRIMES OF GENERALIZED LOCAL COHOMOLOGY MODULES

โœ Scribed by Yassemi, Siamak; Khatami, Leila; Sharif, Tirdad


Book ID
121250765
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
143 KB
Volume
30
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