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The classification of special Cohen–Macaulay modules

✍ Scribed by Osamu Iyama; Michael Wemyss

Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
524 KB
Volume
265
Category
Article
ISSN
0025-5874

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Let (A, m) be a d-dimensional Noetherian local ring, M a finite Cohen-Macaulay A-module of dimension r, and let I be an ideal of definition for M. We define the notion of minimal multiplicity of Cohen-Macaulay modules with respect to I and show that if M has minimal multiplicity with respect to I th