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F-stable submodules of top local cohomology modules of Gorenstein rings

By M. Katzman

Abstract

This paper applies G. Lyubeznik's notion of F-finite modules to describe in a very down-to-earth manner certain annihilator submodules of some top local cohomology modules over Gorenstein rings. As a consequence we obtain an explicit description of the test ideal of Gorenstein rings in terms of ideals in a regular ring.\u

Year: 2006
OAI identifier: oai:eprints.whiterose.ac.uk:10165

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