2 citations · 5 across the 8 of their papers we have counts for
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What is the Rees Algebra of a Module?
David Eisenbud, Craig Huneke, Bernd Ulrich
In this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a modul…
A Simple Proof of some Generalized Principal Ideal Theorems
David Eisenbud, Craig Huneke, Bernd Ulrich
Using symmetric algebras we simplify (and slightly strengthen) the Bruns-Eisenbud-Evans "generalized principal ideal theorem" on the height of order ideals of non-minimal generator…
Heights of Ideals of Minors
David Eisenbud, Craig Huneke, Bernd Ulrich
The classical "generalized principal ideal theorems" of Macaulay, Eagon-Northcott, and others give sharp bounds on the heights of determinantal ideals in arbitrary rings. But in re…
Order Ideals and a Generalized Krull Height Theorem
David Eisenbud, Craig Huneke, Bernd Ulrich
Let N be a finitely generated module over a Noetherian local ring (R,m). We give criteria for the height of the order ideal N^*(x) of an element x \in N to be bounded by the rank o…