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20022023
most citedCohen--Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

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math.AC2002

The depth of the associated graded ring of ideals with any reduction number

Ian Aberbach, Laura Ghezzi, Huy Tai Ha

Let R be a local Cohen-Macaulay ring, let I be an R-ideal, and let G be the associated graded ring of I. We give an estimate for the depth of G when G is not necessarily Cohen-Maca…