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

(2002-12)
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-Macaulay. We assume that I is either equimultiple, ...
• #### Homology multipliers and the relation type of parameter ideals ﻿

(2005-01)
We study the relation type question, raised by C. Huneke, which asks whether for a complete equidimensional local ring R there exists a uniform bound for the relation type of parameter ideals. Wang gave a positive answer ...