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On the Homology of Completion and Torsion

✍ Scribed by Porta, Marco; Shaul, Liran; Yekutieli, Amnon


Book ID
121559699
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
792 KB
Volume
17
Category
Article
ISSN
1386-923X

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Tor and Torsion on a Complete Intersecti
✍ David A Jorgensen πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 231 KB

Let R, α’Š be a complete intersection, that is, a ring whose α’Š-adic completion is the quotient of a regular local ring by a regular sequence. Suppose M and N are finitely generated R-modules. We give a necessary condition for the vanishing of R Ε½ . Tor M, N for all i 4 0 in terms of the intersection o