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A characterization of Cohen-Macaulay modules and local cohomology

โœ Scribed by R. Naghipour; M. Sedghi


Publisher
Springer
Year
2006
Tongue
English
Weight
83 KB
Volume
87
Category
Article
ISSN
0003-889X

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Hilbert coefficients of a Cohenโ€“Macaulay
โœ Tony J. Puthenpurakal ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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