43 citations · 48 across the 14 of their papers we have counts for
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math.AC2004★ 43 cited
A formula for the core of an ideal
Claudia Polini, Bernd Ulrich
The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and…
math.AC2004
The Gorenstein and complete intersection properties of associated graded rings
William Heinzer, Mee-Kyoung Kim, Bernd Ulrich
Let I be an m-primary ideal of a Noetherian local ring (R,m). We consider the Gorenstein and complete intersection properties of the associated graded ring G(I) and the fiber cone…
math.AC2004★ 1 cited
The Regularity of Tor and Graded Betti Numbers
David Eisenbud, Craig Huneke, Bernd Ulrich
Let S=K[x_1,..., x_n], let A,B be finitely generated graded S-modules, and let m=(x_1,...,x_n). We give bounds for the Castelnuovo-Mumford regularity of the local cohomology of Tor…