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Frobenius maps on injective hulls and their applications to tight closure

Katzman, M. (2009) Frobenius maps on injective hulls and their applications to tight closure. arXiv:0902.3110v1 [math.AC]. (Unpublished)

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Abstract

This paper studies Frobenius maps on injective hulls of residue fields of complete local rings with a view toward providing constructive descriptions of objects originating from the theory of tight closure. Specifically, the paper describes algorithms for computing parameter test ideals, and tight closure of certain submodules of the injective hull of residue fields of a class of well-behaved rings which includes all quasi-Gorenstein complete local rings.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Katzman. Imported from arXiv
Academic Units: The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 19 Nov 2009 16:53
Last Modified: 08 Feb 2013 16:59
Status: Unpublished
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/10168

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