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Attached primes and Matlis duals of local cohomology modules

✍ Scribed by Michael Hellus


Publisher
Springer
Year
2007
Tongue
English
Weight
136 KB
Volume
89
Category
Article
ISSN
0003-889X

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Cofiniteness and associated primes of lo
✍ Thomas Marley; Janet C. Vassilev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 133 KB

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