Hilbert coefficients and depths of form rings

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dc.creatorJayanthan, A. V.
dc.creatorSingh, Balwant
dc.creatorVerma, J. K.
dc.date2002-06-21
dc.date2003-01-31
dc.date.accessioned2026-07-07T04:49:16Z
dc.date.available2026-07-07T04:49:16Z
dc.descriptionWe 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 e_1. As an application, we derive bounds on the higher Hilbert coefficient e_i in terms of e_0.
dc.description7 pages; This is a slightly modified version of the previously uploaded file
dc.identifierhttps://arxiv.org/abs/math/0206221
dc.identifierhttp://arxiv.org/abs/math/0206221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64359
dc.subjectCommutative Algebra
dc.subject13H10, 13H15
dc.titleHilbert coefficients and depths of form rings
dc.typetext

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