ID | 55354 |
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Abstract | Using the description of the Frobenius limit of modules over the ring of invariants under an action of a finite group on a polynomial ring over a field of characteristic p>0 developed by Symonds and the author, we give a characterization of the ring of invariants with a positive dual F-signature. Combining this result and Kemper's result on depths of the ring of invariants under an action of a permutation group, we give an example of an F-rational, but non-F-regular ring of invariants under the action of a finite group.
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Keywords | F-rational
F-regular
Dual F-signature
Frobenius limit
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Note | This is an Accepted Manuscript of an article published by Elsevier
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Published Date | 2017-08-15
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Publication Title |
Journal of Algebra
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Volume | volume484
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Publisher | Elsevier
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Start Page | 207
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End Page | 223
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ISSN | 0021-8693
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NCID | AA00692420
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Content Type |
Journal Article
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language |
English
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OAI-PMH Set |
岡山大学
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Copyright Holders | https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ja
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File Version | author
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DOI | |
Web of Science KeyUT | |
Related Url | https://doi.org/10.1016/j.jalgebra.2017.04.017
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