Hilbert Coefficients and Depths of Form Rings
نویسندگان
چکیده
منابع مشابه
Hilbert Coefficients and Depths of Form Rings
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 module. 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 e1. As an application, we derive bounds on the higher Hilbert coeffi...
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Given a local Cohen-Macaulay ring (R,m), we study the interplay between the integral closedness – or even the normality – of an m-primary R-ideal I and conditions on the Hilbert coefficients of I . We relate these properties to the depth of the associated graded ring of I .
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2004
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120028790