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Cohen–Macaulay Isolated Singularities with a Dualizing Module

✍ Scribed by Kenji Nishida


Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
418 KB
Volume
9
Category
Article
ISSN
1386-923X

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Hilbert coefficients of a Cohen–Macaulay
✍ Tony J. Puthenpurakal 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 157 KB

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