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

Katzman, M. (2006) F-stable submodules of top local cohomology modules of Gorenstein rings. arXiv:math/0602550v1 [math.AC]. (Unpublished)

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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.

Item Type: Article
Copyright, Publisher and Additional Information: © 2006 Katzman. Imported from arXiv
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 20 Nov 2009 10:13
Last Modified: 08 Feb 2013 16:59
Status: Unpublished
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10165

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