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Cofinitely semiperfect modules

✍ Scribed by H. Çalışıcı; A. Pancar


Publisher
SP MAIK Nauka/Interperiodica
Year
2005
Tongue
English
Weight
103 KB
Volume
46
Category
Article
ISSN
0037-4466

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Cofiniteness and associated primes of lo
✍ Thomas Marley; Janet C. Vassilev 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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