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Uniform annihilation of local cohomology and of Koszul homology

Published online by Cambridge University Press:  24 October 2008

K. Raghavan
K. Raghavan
Affiliation:
Purdue University, West Lafayette, IN 47907, U.S.A.
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Extract

Let R be a ring (all rings considered here are commutative with identity and Noetherian), M a finitely generated R-module, and I an ideal of R. The jth local cohomology module of M with support in I is defined by

In this paper, we prove a uniform version of a theorem of Brodmann about annihilation of local cohomology modules. As a corollary of this, we deduce a generalization of a theorem of Hochster and Huneke about uniform annihilation of Koszul homology.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 112 , Issue 3 , November 1992 , pp. 487 - 494
Copyright
Copyright © Cambridge Philosophical Society 1992

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References

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