Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal

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dc.creatorVerma, J. K.
dc.date2008-01-31
dc.date.accessioned2026-07-07T08:57:30Z
dc.date.available2026-07-07T08:57:30Z
dc.descriptionIn this expository paper we survey results that relate Hilbert coefficients of an m-primary ideal I in a Cohen-Macaulay local ring (R, m) with depth of the associated graded ring G(I). Several results in this area follow from two theorems of S. Huckaba and T. Marley. These were proved using homological techniques. We provide simple proofs using superficial sequences.
dc.description24 pages, expository paper to appear in Mathematics Student
dc.identifierhttps://arxiv.org/abs/0801.4866
dc.identifierhttp://arxiv.org/abs/0801.4866
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146990
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13H15
dc.titleHilbert Coefficients and Depth of the Associated Graded Ring of an Ideal
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