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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146990In 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.24 pages, expository paper to appear in Mathematics StudentCommutative AlgebraAlgebraic Geometry13H15Hilbert Coefficients and Depth of the Associated Graded Ring of an Idealtext