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The Hilbert function of a maximal Cohen-Macaulay module
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
The Hilbert function of a maximal Cohen-Macaulay module
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| Creator |
PUTHENPURAKAL, TJ
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| Subject |
coefficients
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| Description |
We study Hilbert functions of maximal CM modules over CM local rings. When A is a hypersurface ring with dimension d > 0, we show that the Hilbert function of M with respect to m is non- decreasing. If A = Q/( f) for some regular local ring Q, we determine a lower bound for e(0)(M) and e(1)(M) and analyze the case when equality holds. When A is Gorenstein a relation between the second Hilbert coefficient of M, A and S-A( M) = (Syz(1)(A) (M*))* is found when G(M) is CM and depthG(A) >= d - 1. We give bounds for the first Hilbert coefficients of the canonical module of a CM local ring and analyze when equality holds. We also give good bounds on Hilbert coefficients of M when M is maximal CM and G( M) is CM.
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| Publisher |
SPRINGER
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| Date |
2011-08-29T20:28:19Z
2011-12-26T12:58:45Z 2011-12-27T05:49:13Z 2011-08-29T20:28:19Z 2011-12-26T12:58:45Z 2011-12-27T05:49:13Z 2005 |
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| Type |
Article
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| Identifier |
MATHEMATISCHE ZEITSCHRIFT, 251(3), 551-573
0025-5874 http://dx.doi.org/10.1007/s00209-005-0822-9 http://dspace.library.iitb.ac.in/xmlui/handle/10054/12183 http://hdl.handle.net/10054/12183 |
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| Language |
en
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