Katzman, M. and Zhang, W. (2014) Annihilators of Artinian modules compatible with a Frobenius map. Journal of Symbolic Computation, 60. pp. 29-46. ISSN 0747-7171
Abstract
In this paper we consider Artinian modules over power series rings endowed with a Frobenius map. We describe a method for finding the set of all prime annihilators of submodules which are preserved by the given Frobenius map and on which the Frobenius map is not nilpotent. This extends the algorithm by Karl Schwede and the first author, which solved this problem for submodules of the injective hull of the residue field. The Matlis dual of this problem asks for the radical annihilators of quotients of free modules by submodules preserved by a given Frobenius near-splitting, and the same method solves this dual problem in the F-finite case. © 2013 Elsevier B.V.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 Elsevier B.V. This is an author produced version of a paper subsequently published in Journal of Symbolic Computation. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Keywords: | Frobenius map; Frobenius splitting |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 22 Mar 2016 14:56 |
Last Modified: | 22 Mar 2016 15:32 |
Published Version: | http://dx.doi.org/10.1016/j.jsc.2013.10.009 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.jsc.2013.10.009 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96701 |