ICAR Research Data Repository for Knowledge Management
Hilbert coefficients and depths of form rings
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Hilbert coefficients and depths of form rings
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| Creator |
JAYANTHAN, AV
SINGH, B VERMA, JK |
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| Subject |
hilbert co-efficients
associated graded rings cohen-macaulay module first hilbert coefficient |
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| Description |
We present short and elementary proofs of two theorems of Huckaba and Marley, while generalizing them at the same time to the case of a modulo. The theorems concern a characterization of the depth of the associated graded ring of a Cohen-Macaulay module, with respect to a Hilbert filtration, in terms of the Hilbert coefficient e(1). As an application, we derive bounds on the higher Hilbert coefficient e(i) in terms of e(0).
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| Publisher |
MARCEL DEKKER INC
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| Date |
2011-08-18T10:08:40Z
2011-12-26T12:55:41Z 2011-12-27T05:42:05Z 2011-08-18T10:08:40Z 2011-12-26T12:55:41Z 2011-12-27T05:42:05Z 2004 |
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| Type |
Article
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| Identifier |
COMMUNICATIONS IN ALGEBRA, 32(4), 1445-1452
0092-7872 http://dx.doi.org/10.1081/AGB-120028790 http://dspace.library.iitb.ac.in/xmlui/handle/10054/9973 http://hdl.handle.net/10054/9973 |
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| Language |
en
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