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- Michigan State UniversityUS5 papers
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8 papers · 2 filters
Sally modules and associated graded rings
Alberto Corso, Claudia Polini, Maria Vaz Pinto
We study the depth properties of the associated graded ring of an m-primary ideal I in terms of numerical data attached to the ideal I. We also find bounds on the Hilbert coefficie…
A generalized Dedekind-Mertens lemma and its converse
Alberto Corso, William Heinzer, Craig Huneke
We study content ideals of polynomials and their behavior under multiplication. We give a generalization of the Lemma of Dedekind-Mertens and prove the converse under suitable dime…
Core and residual intersections of ideals
Alberto Corso, Claudia Polini, Bernd Ulrich
D. Rees and J. Sally defined the core of an -ideal as the intersection of all minimal reductions of . However, it is not easy to give an explicit characterization o…
Andre-Quillen homology of algebra retracts
L. L. Avramov, S. Iyengar
Given a homomorphism of commutative noetherian rings , Daniel Quillen conjectured in 1970 that if the Andre-Quillen homology functors vanish for all $n \gg…
Vanishing of cohomology over Gorenstein rings of small codimension
Liana M Sega
We prove that if M, N are finite modules over a Gorenstein local ring R of codimension at most 4, then the vanishing of Ext^n_R(M,N) for n\gg 0 is equivalent to the vanishing of Ex…
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…